9+ Best Steam Pipe Sizing Calculators (2024)


9+ Best Steam Pipe Sizing Calculators (2024)

A software employed for figuring out the suitable diameter of piping for steam techniques, this useful resource considers components like steam move fee, strain, temperature, and allowable velocity to make sure environment friendly and secure operation. As an illustration, a designer would possibly use such a software to specify the right pipe measurement for a brand new heating system in a constructing, stopping points like extreme strain drop or noisy operation.

Correct pipe sizing is essential for steam system efficiency and longevity. Undersized pipes can result in excessive velocities, extreme noise, and strain drops that cut back system effectivity. Outsized pipes, whereas much less problematic operationally, improve materials prices and set up complexity. Traditionally, these calculations had been carried out manually utilizing advanced formulation and steam tables. Fashionable instruments streamline this course of, bettering accuracy and saving important engineering time. This cautious design apply prevents pricey rework and ensures secure and dependable steam supply for varied purposes, starting from energy era to industrial processes and heating techniques.

The next sections will discover the important thing parameters thought of in these calculations, out there instruments and strategies, and sensible issues for implementing ends in real-world initiatives.

1. Steam Stress

Steam strain represents a essential parameter inside steam system design and instantly influences pipe sizing calculations. Understanding its affect is prime for choosing acceptable pipe diameters that guarantee environment friendly and secure system operation. Incorrect strain issues can result in catastrophic failures, underscoring the significance of correct calculations facilitated by a steam pipe sizing calculator.

  • System Efficiency

    Increased steam pressures usually correspond to increased vitality densities, enabling larger energy output or heating capability. Nevertheless, elevated strain necessitates bigger pipe diameters or thicker pipe partitions to resist the interior forces. A steam pipe sizing calculator considers this relationship, guaranteeing pipe specs meet the required strain ranking and forestall leaks or ruptures. For instance, a high-pressure steam line in an influence plant requires considerably bigger piping than a low-pressure heating system in a residential constructing.

  • Velocity Management

    Steam velocity will increase with strain, assuming a relentless move fee. Extreme velocities can result in erosion, noise, and vibration inside the piping system. Calculators incorporate velocity limits primarily based on {industry} requirements and greatest practices, adjusting pipe diameter accordingly to take care of acceptable move traits. This prevents injury and ensures long-term system reliability.

  • Stress Drop

    Stress drop happens as steam flows by means of piping as a result of friction and different components. Increased pressures typically expertise larger strain drops alongside a given pipe size. Correct pipe sizing minimizes this loss, maximizing vitality supply to the supposed utility. Calculators account for strain drop calculations, permitting engineers to specify optimum pipe diameters that stability system effectivity with value issues. For lengthy pipe runs, this may considerably have an effect on the system’s general efficiency.

  • Security Concerns

    Working at increased pressures presents larger security dangers. Pipe wall thickness, materials choice, and correct joint design are essential for stopping failures. Calculators incorporate security components primarily based on regulatory codes and {industry} requirements, guaranteeing the chosen pipe measurement offers an enough security margin for the required working strain. This rigorous method minimizes the danger of accidents and ensures personnel security.

Correct consideration of steam strain in pipe sizing is important for a secure, environment friendly, and dependable steam system. A steam pipe sizing calculator integrates these components, offering engineers with a strong software to find out optimum pipe diameters that meet efficiency necessities whereas adhering to security requirements. This meticulous method prevents pricey rework, minimizes operational points, and ensures long-term system integrity.

2. Steam Temperature

Steam temperature performs a significant position in steam system design and is intricately linked to pipe sizing calculations. Temperature influences materials choice, insulation necessities, and general system effectivity. Correct temperature issues are important for guaranteeing secure and dependable operation, making it an important parameter inside any steam pipe sizing calculator.

  • Materials Choice

    Elevated steam temperatures necessitate supplies with adequate energy and resistance to creep. Increased temperatures typically require costlier alloys, impacting undertaking prices. A steam pipe sizing calculator considers temperature limits for varied supplies, helping engineers in selecting acceptable piping that balances efficiency necessities with budgetary constraints. For instance, stainless-steel could also be crucial for high-temperature purposes the place carbon metal could be unsuitable.

  • Insulation Necessities

    Increased steam temperatures lead to elevated warmth loss to the encircling atmosphere. Sufficient insulation is important for sustaining system effectivity and stopping condensation. Calculators typically incorporate insulation components, permitting engineers to find out acceptable insulation thickness for minimizing warmth switch and guaranteeing the steam reaches its vacation spot on the desired temperature. This reduces vitality waste and working prices.

  • Thermal Growth

    Temperature modifications trigger pipes to develop and contract. This thermal enlargement should be accommodated in system design to forestall stress and potential failures. Pipe sizing calculators typically incorporate enlargement coefficients, permitting engineers to account for these dimensional modifications and implement acceptable enlargement loops or different mitigation methods. Failure to account for thermal enlargement can result in pipe buckling or joint failures.

  • Impression on Steam Properties

    Steam properties, corresponding to density and viscosity, differ with temperature. These modifications affect strain drop calculations and general system efficiency. A steam pipe sizing calculator accounts for these temperature-dependent properties, guaranteeing correct and dependable sizing outcomes. As an illustration, increased temperatures can result in decrease steam density, affecting velocity and strain drop calculations.

Cautious consideration of steam temperature is essential for efficient steam system design. Integrating temperature into pipe sizing calculations, by means of the usage of a devoted calculator, ensures optimum materials choice, correct insulation, and correct system efficiency predictions. This complete method minimizes dangers, reduces working prices, and ensures the long-term reliability and security of the steam system.

3. Circulate Charge

Circulate fee, representing the amount of steam transported by means of a pipe per unit of time, stands as a main determinant in steam pipe sizing calculations. This parameter instantly influences pipe diameter choice, impacting system effectivity, strain drop, and velocity. A exact understanding of move fee’s position is important for leveraging a steam pipe sizing calculator successfully.

The connection between move fee and pipe diameter displays a direct proportionality: increased move charges necessitate bigger pipe diameters to take care of acceptable velocities and strain drops. As an illustration, a high-output steam turbine requires considerably bigger piping than a small steam-driven pump working on the identical strain. Ignoring move fee necessities results in both undersized pipes, leading to extreme velocities and strain losses, or outsized pipes, rising materials and set up prices unnecessarily. A steam pipe sizing calculator accounts for this relationship, guaranteeing the chosen pipe diameter accommodates the specified move fee whereas optimizing system efficiency.

Sensible purposes underscore the significance of correct move fee dedication. In industrial settings, processes like steam sterilization or chemical manufacturing demand exact steam supply. Undersized pipes prohibit manufacturing capability, whereas outsized pipes waste vitality and assets. Equally, in constructing heating techniques, correct move fee ensures enough warmth distribution with out extreme noise or strain fluctuations. A steam pipe sizing calculator, by incorporating move fee calculations, aids engineers in deciding on optimum pipe sizes, balancing efficiency wants with financial issues. This precision contributes considerably to general system effectivity, reliability, and security.

4. Pipe Materials

Pipe materials choice considerably influences steam system design and is an integral part of correct steam pipe sizing calculations. Completely different supplies exhibit various properties, affecting strain and temperature rankings, corrosion resistance, and general system longevity. A steam pipe sizing calculator incorporates these material-specific traits, guaranteeing acceptable pipe choice for the supposed working situations.

Materials properties instantly affect allowable stress ranges inside the pipe wall. As an illustration, carbon metal gives good energy at decrease temperatures and pressures however is vulnerable to high-temperature corrosion. Stainless-steel, whereas costlier, offers superior corrosion resistance and better temperature capabilities. A calculator considers these materials limitations, adjusting allowable stresses and wall thicknesses accordingly. Selecting an unsuitable materials can result in untimely failures, pricey repairs, and security hazards. For instance, utilizing carbon metal in a high-temperature, corrosive atmosphere might lead to fast deterioration, whereas stainless-steel would supply a extra strong and dependable answer.

The sensible implications of fabric choice prolong past preliminary set up prices. Upkeep necessities, lifespan, and general system reliability are influenced by the chosen materials. A steam pipe sizing calculator, by integrating materials properties into its calculations, aids engineers in making knowledgeable selections that stability efficiency necessities with long-term value issues. This complete method ensures system integrity, minimizes downtime, and promotes operational effectivity all through the system’s lifecycle. Understanding the nuanced relationship between pipe materials and steam pipe sizing is essential for designing strong, dependable, and cost-effective steam techniques.

5. Velocity Limits

Velocity limits signify essential constraints inside steam system design, instantly influencing pipe sizing calculations. Extreme steam velocity can result in erosion, noise, and vibration, compromising system integrity and longevity. A steam pipe sizing calculator incorporates these limits, guaranteeing chosen pipe diameters keep acceptable move velocities.

  • Erosion Management

    Excessive-velocity steam can erode pipe partitions, notably at bends and modifications in path. This erosion weakens the pipe, rising the danger of leaks and failures. Velocity limits, typically primarily based on materials kind and steam situations, mitigate this threat. A steam pipe sizing calculator incorporates these limits, guaranteeing pipe diameters present adequate cross-sectional space to take care of velocities beneath erosive thresholds. For instance, increased velocities is likely to be permissible in straight pipe sections in comparison with elbows or valves.

  • Noise Discount

    Extreme steam velocity can generate important noise, notably in smaller diameter pipes. This noise may be disruptive and will exceed acceptable ranges in sure environments, corresponding to hospitals or residential buildings. Velocity limits assist management noise ranges by guaranteeing move velocities stay inside acceptable ranges. A steam pipe sizing calculator considers these limits, optimizing pipe diameters for quiet operation. Bigger diameter pipes usually cut back move noise in comparison with smaller ones carrying the identical mass move fee.

  • Vibration Mitigation

    Excessive-velocity steam can induce vibrations inside the piping system. These vibrations can result in fatigue failures, leaks at joints, and injury to related gear. Velocity limits decrease vibration potential by controlling move traits. A steam pipe sizing calculator incorporates these limits, guaranteeing pipe diameters decrease vibration dangers. Correctly supported piping and acceptable enlargement loops additional mitigate vibration points.

  • System Effectivity

    Whereas excessively excessive velocities pose dangers, overly low velocities will also be detrimental. Very low velocities might result in elevated warmth loss and potential condensation inside the pipe. A steam pipe sizing calculator balances these issues, optimizing pipe diameters for environment friendly steam transport whereas staying inside acceptable velocity ranges. This ensures optimum vitality supply and minimizes operational prices.

Applicable consideration of velocity limits is prime for designing secure, environment friendly, and dependable steam techniques. A steam pipe sizing calculator integrates these limits into its calculations, guiding engineers in direction of optimum pipe diameters that stability efficiency necessities with long-term system integrity. This complete method minimizes dangers, reduces upkeep wants, and ensures the steam system operates inside secure and acceptable parameters.

6. Stress Drop

Stress drop, the discount in steam strain because it flows by means of a pipe, represents a essential consider steam system design and is intrinsically linked to steam pipe sizing calculations. This phenomenon arises primarily from frictional losses between the steam and the pipe’s inside floor, in addition to modifications in move path and velocity. Precisely predicting and managing strain drop is important for guaranteeing environment friendly steam supply and optimum system efficiency. A steam pipe sizing calculator integrates strain drop calculations, enabling engineers to pick pipe diameters that decrease strain loss whereas sustaining acceptable move traits.

A number of components affect strain drop inside a steam pipe. Pipe diameter, steam move fee, pipe size, and steam properties (corresponding to density and viscosity) all contribute to the general strain loss. As an illustration, smaller diameter pipes exhibit increased strain drops for a given move fee as a result of elevated frictional resistance. Longer pipe runs additionally expertise larger strain losses. Furthermore, increased steam velocities exacerbate strain drop. A steam pipe sizing calculator considers these interdependencies, enabling engineers to optimize pipe diameters for particular working situations. For instance, an extended steam distribution line serving a number of course of items requires cautious pipe sizing to make sure enough strain at every supply level. Ignoring strain drop calculations can result in inadequate steam strain on the end-use gear, compromising efficiency and effectivity. Conversely, overcompensating by deciding on excessively massive pipe diameters will increase materials and set up prices unnecessarily.

Understanding and managing strain drop is prime for environment friendly and cost-effective steam system operation. A steam pipe sizing calculator offers an important software for predicting and mitigating strain losses, guaranteeing enough steam strain on the level of use. This optimization course of balances efficiency necessities with financial issues, resulting in extra environment friendly and dependable steam techniques. Neglecting strain drop calculations may end up in underperforming techniques, elevated vitality consumption, and potential gear injury. Correct strain drop evaluation, facilitated by a steam pipe sizing calculator, ensures optimum system design and operation.

7. Pipe Insulation

Pipe insulation performs an important position in steam system effectivity and, consequently, influences calculations carried out by a steam pipe sizing calculator. Insulation reduces warmth loss to the encircling atmosphere, sustaining desired steam temperature and strain alongside the pipeline. This warmth conservation instantly impacts required pipe sizing. With out enough insulation, important warmth loss can result in condensation, elevated strain drop, and diminished steam high quality. A steam pipe sizing calculator should account for insulation’s impact to make sure correct sizing. For instance, a poorly insulated steam pipe might require a bigger diameter to compensate for the anticipated strain drop as a result of warmth loss, whereas a well-insulated pipe can obtain the identical efficiency with a smaller diameter, lowering materials and set up prices.

The thickness and high quality of insulation instantly affect the speed of warmth switch. Increased insulation values and larger thicknesses decrease warmth loss, lowering the necessity for outsized piping. This relationship highlights the interconnectedness of insulation and pipe sizing. In sensible purposes, corresponding to long-distance steam distribution networks, correct insulation is important for sustaining steam high quality and strain. With out enough insulation, important vitality losses can happen, rising working prices and lowering system effectiveness. A steam pipe sizing calculator, by incorporating insulation parameters, permits engineers to optimize pipe diameters for particular insulation traits, guaranteeing environment friendly and cost-effective system operation. As an illustration, specifying the next insulation worth permits for smaller diameter piping whereas attaining the identical supply temperature, optimizing capital expenditure.

Efficient integration of insulation issues into steam pipe sizing calculations is important for optimizing system efficiency and cost-effectiveness. Ignoring insulation’s affect can result in inaccurate sizing, leading to both outsized pipes and pointless materials expense or undersized pipes with elevated strain drop and diminished steam high quality. A sturdy steam pipe sizing calculator incorporates insulation properties, enabling engineers to precisely decide optimum pipe diameters for particular working situations and insulation traits. This holistic method ensures environment friendly steam supply, minimizes vitality losses, and optimizes general system design.

8. Security Elements

Security components signify a essential factor inside steam pipe sizing calculations, guaranteeing system integrity and personnel security below varied working situations. These components account for uncertainties in materials properties, manufacturing tolerances, working pressures, and potential transient occasions. A steam pipe sizing calculator incorporates security components to offer a margin of safety towards unexpected circumstances, stopping failures that would result in damage or injury. This integration ensures the chosen pipe measurement can face up to stresses exceeding anticipated working situations, safeguarding towards sudden strain surges, temperature fluctuations, or exterior forces. For instance, a security issue utilized to the pipe’s allowable stress ensures it may face up to pressures considerably increased than the traditional working strain, offering a buffer towards potential strain spikes.

Sensible purposes spotlight the significance of incorporating security components. In energy era services, steam piping operates below excessive pressures and temperatures. A failure in these techniques can have catastrophic penalties. Equally, in chemical processing crops, steam traces typically carry hazardous supplies. A leak or rupture may launch harmful substances, posing dangers to each personnel and the atmosphere. Steam pipe sizing calculators, by incorporating acceptable security components, mitigate these dangers. These calculations guarantee the chosen pipe materials and wall thickness can face up to anticipated working situations with a margin of security, minimizing the probability of failures. The particular security components employed rely upon {industry} requirements, regulatory codes, and the particular utility. These requirements present tips for figuring out acceptable security margins primarily based on the extent of threat related to the steam system.

Correct incorporation of security components into steam pipe sizing calculations is prime for guaranteeing secure and dependable steam system operation. These components present an important buffer towards unexpected occasions, defending each personnel and infrastructure. Steam pipe sizing calculators combine these security issues, enabling engineers to pick pipe sizes that meet stringent security necessities. This proactive method minimizes dangers and ensures long-term system integrity. Failure to adequately contemplate security components in pipe sizing can result in catastrophic failures with important penalties. Subsequently, understanding and making use of acceptable security components is paramount in accountable steam system design and operation.

9. Software program/Device Choice

Software program and gear choice considerably impacts the accuracy and effectivity of steam pipe sizing calculations. Selecting acceptable software program is essential for guaranteeing dependable outcomes, optimizing system design, and minimizing potential errors. Out there choices vary from specialised steam system design software program to on-line calculators and spreadsheet-based instruments. Every gives distinct capabilities, requiring cautious consideration primarily based on undertaking complexity, required accuracy, and out there assets.

  • Specialised Steam System Design Software program

    Complete software program packages supply superior options for modeling advanced steam techniques, together with pipe sizing, strain drop evaluation, and gear choice. These instruments typically incorporate intensive steam tables and thermodynamic properties, enabling detailed and correct calculations. They’re usually used for large-scale initiatives requiring excessive precision and detailed evaluation, corresponding to energy plant design or industrial course of optimization. Examples embrace Crane Companion, AFT Fathom, and Siemens PIPENET.

  • On-line Steam Pipe Sizing Calculators

    On-line calculators present a readily accessible and sometimes free different for less complicated steam pipe sizing duties. These instruments usually supply a streamlined interface for inputting fundamental parameters like move fee, strain, and temperature, offering fast estimations of required pipe diameters. Whereas handy for preliminary assessments or smaller initiatives, they might lack the detailed evaluation capabilities of devoted software program. Examples embrace calculators provided by varied valve and pipe producers.

  • Spreadsheet-Primarily based Instruments

    Spreadsheets supply a customizable method to steam pipe sizing, permitting engineers to implement particular formulation and calculations tailor-made to particular person undertaking necessities. This method gives flexibility however requires a deeper understanding of steam system ideas and potential pitfalls related to guide calculations. Errors in formulation or enter values can result in inaccurate outcomes, necessitating cautious verification.

  • Concerns for Choice

    Selecting the suitable software is determined by a number of components. Mission complexity dictates the required degree of element and evaluation. Accuracy necessities affect the selection between simplified calculators and extra refined software program. Out there assets, together with funds and experience, additionally play a job. For advanced initiatives, investing in devoted software program gives larger accuracy and effectivity. For less complicated purposes, on-line calculators or spreadsheet-based instruments might suffice. Correct software choice ensures correct pipe sizing, optimizing system efficiency and security.

Applicable software program/software choice is important for correct and environment friendly steam pipe sizing. Choosing the proper software for the particular undertaking necessities ensures dependable outcomes, minimizes errors, and optimizes general system design. Cautious consideration of accessible choices, together with specialised software program, on-line calculators, and spreadsheet-based instruments, primarily based on undertaking complexity, accuracy wants, and out there assets, is paramount for attaining optimum steam system efficiency and security. Failing to pick the suitable software can result in inaccurate sizing, leading to both undersized pipes with extreme strain drops or outsized pipes with elevated materials and set up prices.

Steadily Requested Questions

This part addresses frequent inquiries concerning steam pipe sizing calculations, offering concise and informative responses to make clear potential uncertainties and misconceptions.

Query 1: What are the potential penalties of undersized steam piping?

Undersized piping can result in extreme steam velocity, leading to excessive strain drops, elevated noise ranges, and potential erosion of pipe partitions. These components can compromise system effectivity, improve working prices, and create security hazards.

Query 2: How does steam strain affect pipe sizing calculations?

Increased steam pressures necessitate thicker pipe partitions or bigger diameters to resist elevated stress. Stress additionally influences steam velocity and strain drop calculations, requiring cautious consideration throughout pipe sizing.

Query 3: Why is insulation necessary in steam pipe sizing?

Insulation minimizes warmth loss, lowering the danger of condensation and sustaining desired steam temperature and strain. Correct insulation can enable for smaller pipe diameters, optimizing materials prices and system effectivity.

Query 4: What position do security components play in steam pipe sizing?

Security components account for uncertainties in materials properties, working situations, and potential transient occasions. They supply a margin of safety, guaranteeing the pipe can face up to stresses exceeding anticipated working parameters.

Query 5: What are the totally different instruments out there for steam pipe sizing calculations?

Choices vary from specialised steam system design software program to on-line calculators and spreadsheet-based instruments. Software program choice is determined by undertaking complexity, required accuracy, and out there assets.

Query 6: How does steam temperature have an effect on pipe materials choice?

Elevated steam temperatures necessitate supplies with acceptable temperature and creep resistance. Increased temperatures typically require costlier alloys, influencing each materials choice and general system value.

Correct steam pipe sizing requires cautious consideration of assorted components, together with strain, temperature, move fee, and materials properties. Utilizing a dependable steam pipe sizing calculator and understanding the underlying ideas ensures secure, environment friendly, and cost-effective steam system design.

For additional data and detailed evaluation, seek the advice of related {industry} requirements, engineering handbooks, and specialised steam system design assets.

Sensible Suggestions for Steam Pipe Sizing

Correct steam pipe sizing is essential for system effectivity, security, and longevity. The next sensible ideas present worthwhile insights for engineers and designers concerned in steam system initiatives.

Tip 1: Account for Future Growth: Design steam piping techniques with future enlargement in thoughts. Anticipating potential will increase in steam demand permits for preliminary choice of barely bigger pipe sizes, accommodating future progress with out requiring intensive system modifications. This proactive method minimizes future prices and disruptions.

Tip 2: Confirm Insulation Specs: Insulation performs a essential position in sustaining steam high quality and minimizing warmth loss. Confirm insulation specs fastidiously, guaranteeing they meet the required thermal efficiency and repair temperature necessities. Correct insulation choice reduces vitality waste and working prices.

Tip 3: Contemplate Pipe Materials Compatibility: Steam may be corrosive, notably at excessive temperatures and pressures. Rigorously contemplate materials compatibility to make sure long-term system integrity. Choosing acceptable supplies minimizes corrosion dangers, extending the lifespan of the piping system and lowering upkeep necessities. Stainless-steel, for instance, gives superior corrosion resistance in comparison with carbon metal in sure purposes.

Tip 4: Validate Enter Parameters: Correct calculations depend on correct enter knowledge. Completely validate enter parameters, corresponding to steam move fee, strain, and temperature, earlier than performing pipe sizing calculations. Errors in enter knowledge can result in important sizing errors, compromising system efficiency and security. Cross-referencing knowledge from a number of sources enhances accuracy.

Tip 5: Make the most of Respected Calculation Instruments: Make use of respected steam pipe sizing calculators or software program from trusted sources. Make sure the chosen software adheres to related {industry} requirements and incorporates acceptable security components. Dependable instruments present correct outcomes, minimizing the danger of pricey design errors. Consulting industry-standard references like Crane Technical Paper 410 offers extra validation.

Tip 6: Doc Calculations and Assumptions: Preserve thorough documentation of all calculations, assumptions, and enter parameters. This documentation offers worthwhile data for future reference, troubleshooting, and system modifications. Clear documentation additionally facilitates collaboration amongst undertaking stakeholders.

Tip 7: Seek the advice of with Skilled Engineers: For advanced steam techniques or essential purposes, consulting with skilled steam system engineers offers worthwhile experience. Professional steerage ensures correct design practices, minimizes potential dangers, and optimizes system efficiency. Exterior evaluate can establish potential oversights and enhance design reliability.

Adhering to those sensible ideas ensures correct steam pipe sizing, optimizing system effectivity, security, and reliability. Correct planning and cautious consideration of those components contribute considerably to the long-term success of steam system initiatives.

The next conclusion summarizes key takeaways and emphasizes the general significance of correct steam pipe sizing.

Conclusion

Correct steam pipe sizing, typically facilitated by a steam pipe sizing calculator, stands as a essential facet of steam system design. This course of requires cautious consideration of assorted interconnected components, together with steam strain, temperature, move fee, pipe materials, and insulation properties. Applicable pipe sizing ensures environment friendly steam supply, minimizes strain drop, controls velocity inside secure limits, and optimizes general system efficiency. Neglecting these issues can result in pricey inefficiencies, security hazards, and diminished system lifespan. Correct utilization of calculation instruments and adherence to established engineering ideas are important for attaining optimum outcomes. Understanding the interaction of those components empowers engineers to design strong, dependable, and cost-effective steam techniques.

Efficient steam system design requires a holistic method, integrating correct pipe sizing calculations with cautious materials choice, insulation specification, and consideration of security components. This meticulous method ensures long-term system integrity, minimizes operational prices, and promotes secure and environment friendly steam utilization throughout various purposes, from energy era to industrial processes and constructing heating techniques. Steady developments in calculation instruments and a deeper understanding of steam system dynamics additional improve the precision and reliability of steam pipe sizing practices, contributing to ongoing enhancements in vitality effectivity and system efficiency.