thermal contact resistance formula

Yunus A. Cengel. Fletcher, L. S. (1972) A review of thermal control materials for metallic junctions. This temperature drop is characterized by the thermal contact conductance coefficient, hc, which indicates the thermal conductivity, or ability to conduct heat, between two bodies in contact. An example of data being processed may be a unique identifier stored in a cookie. While extensive databases exist on the thermal properties of bulk materials, similar databases for pressed contacts do not. Thermal Engineering, Copyright 2022 Thermal Engineering | All Rights Reserved |, What is Thermal Resistance - Specific Thermal Resistance - Definition, What is Thermal Resistance - Thermal Resistivity - Definition, What is Thermal Conductivity of Fluids Gases and Liquids Definition, What is Heat Equation Heat Conduction Equation Definition. In case of metallic composite material, which is placed in a vacuum, thermal conduction through the contact spots is the primary mode of heat transfer, and the contact resistance is generally greater than when the composite material is in the presence of air or other fluid. Thermal contact conductance is the thermal conductivity of the interface between two contacting surfaces and is dependent on the surface roughness, material properties, interface temperature and interface pressure. J. R. Lamarsh, A. J. Baratta, Introduction to Nuclear Engineering, 3d ed., Prentice-Hall, 2001, ISBN: 0-201-82498-1. ISBN: 9781118137253. Experimental data has shown (refs. Glasstone, Sesonske. When a junction is formed by pressing two similar or dissimilar metallic materials together, only a small fraction of the nominal surface area is actually in contact because of the nonflatness and roughness of the contacting surfaces. The analog of is current, and the analog of the temperature difference, , is voltage difference. Thermal contact resistance is implemented as a surface-to-surface contact condition. To disable Web help from within SOLIDWORKS and use local help instead, click Help > Use SOLIDWORKS Web Help. The presence of a fluid or solid interstitial medium between the contacting surfaces may contribute to or restrict the heat transfer at the junction, depending upon the thermal conductivity, thickness, and hardness (in the case of a solid) of the interstitial medium. K. O. Ott, R. J. Neuhold, Introductory Nuclear Reactor Dynamics, American Nuclear Society, 1985, ISBN: 0-894-48029-4. C. P. Kothandaraman. = 1/(A hc). The surface finish, or roughness and flatness of the contacting surfaces, can significantly affect the magnitude of the contact resistance. Special Reference: Madhusudana, Chakravarti V., Thermal Contact Conductance. January1993. Thermal contact resistance decreases with decreasing surface roughness and increasing interface pressure. High junction loads and high temperatures result in low contact resistances, whereas light junction loads and low temperatures lead to high contact resistances. |Privacy Policy Heat and Mass Transfer. ISBN: 9781118137253. Moreover, thermal contact resistance is significant and may dominate for good heat conductors such as metals but can be neglected for poor heat conductors such as insulators. Contact resistance for selected interstitial materials for thermal enhancement or thermal isolation. The thermal contact resistance can be minimized by applying a thermally conducting liquid called a thermal grease such as CPU grease on the surfaces before they are pressed against each other. is the thermal contact resistance and is given by Rt Paul Reuss, Neutron Physics. 416 Stainless steel. If there is a significant temperature difference between the surfaces composing the junction, heat exchange by radiation also may occur across the gaps between the contacting surfaces. Thermal contact conductance is typically determined by measuring the heat flux and temperature change across the interface of two materials while simultaneously maintaining a constant load (pressure) on the two materials. The inverse of this property is termed thermal contact resistance. due to its low thermal conductivity, can be very poor. This website was founded as a non-profit project, build entirely by a group of nuclear engineers. which is very effective. The first is conduction through points of solid-to-solid Co; 1st edition, 1965. Typical contact resistance values for Aluminum 2024-T4 samples in contact at moderate test conditions in a vacuum environment are shown in Figure3, to demonstrate the effect of surface finish and mean junction temperature on contact resistance [Fletcher (1991)]. The contact resistance depends on the surface roughness greatly, and the pressure holding the two surfaces together also influences the contact resistance. Thermal Resistance Definition for Thermal Contact. If you want to get in touch with us, please do not hesitate to contact us via e-mail: [emailprotected]. Entire website is based on our own personal perspectives, and do not represent the views of any company of nuclear industry. ISBN: 978-2759800414. In these composite systems, the temperature drop across the interface between materials may be appreciable. To treat the thermal The documentation team cannot answer technical support questions. ASME Journal of Heat Transfer, 110, 4B, 10591070. The units of specific contact resistivity are typically therefore in ohms-square meter, or . analogy, you can write Q = DT/Rt, where Rt Lambert, M. A. and Fletcher, L. S. (1995) Thermal Contact Conductance of Spherical Rough Metals: Theory and Comparison to Experiment, Proceedings of the ASME/JSME Thermal Engineering Joint Conference, Maui, Hawaii, March 1924. Click here for information about technical support, I acknowledge I have read and I hereby accept the. is the temperature difference across an interface of area A, then the pad Probe Card as a micro-contactor. U.S. Department of Energy, Thermodynamics, Heat Transfer and Fluid Flow. You might want to look at some experimental data from various sources available in the literature. Co; 1st edition, 1965. This article provides a brief summary of these properties and a list of thermal contact conductance for a selection of metal-metal pairs. Table 1 presents a summary of low temperature thermal contact data available in the literature. In thermal engineering, the thermal contact conductance [W/m2.K] or thermal contact resistance [m2.K/W] represents the heat conduction between two solid bodies. Heat and Mass Transfer. (Qgap) which, Theodore L. Bergman, Adrienne S. Lavine, Frank P. Incropera. 1, 9-12) that the thermal conductance of metallic pressed contacts When components are bolted or otherwise pressed together, a knowledge of the thermal performance of such joints are also needed. The substance in the gaps between the two contacting So, heat transfer is affected in a negative way on this contact surface. It depends on surface roughness, how much pressure is applied on the surfaces in contact, and the kind of thermal paste used to fill up the air gap. All rights reserved. The thermal resistance of a component indicates how much it can be heated under various loads and how effectively the heat can be removed by using various cooling techniques. It is based on an analogy with Ohm's law which is: In Ohm's law for electricity, "V" is the voltage which drives a current of magnitude "I". Identical Metal Pairs . Thermal resistance networks have a similar functionality to electrical resistance networks used in electrical engineering and allow for easy calculation of the total thermal resistance in a system whether it is composed of resistances in series, parallel or both. Ceramic coatings may also provide hard, corrosion resistant coatings that are not electrically conducting. The contact resistance depends on the surface roughness to a great extent. To view the purposes they believe they have legitimate interest for, or to object to this data processing use the vendor list link below. Thermal Resistance Network. J. R. Lamarsh, A. J. Baratta, Introduction to Nuclear Engineering, 3d ed., Prentice-Hall, 2001, ISBN: 0-201-82498-1. When two such surfaces are pressed against each other, the peaks will form good material contact, but the valleys will form voids filled with air. May2016. More specialized test facilities have been developed for use with such configurations as bolted joints, periodic or sliding contacts, concentric cylinders, and full scale or partial scale models, while some configurations are studied by electrolytic analogue techniques. In thermal engineering, the thermal contact conductance [W/m2.K] or thermal contact resistance [m2.K/W] represents the heat conduction between two solid bodies. However, the user needs to input the value of the resistance. Visit our Editorial note. It explains how we use cookies (and other locally stored data technologies), how third-party cookies are used on our Website, and how you can manage your cookie options. The consent submitted will only be used for data processing originating from this website. While metallic foils and greases are often used for thermal enhancement, most of the interstitial materials are generally used for thermal isolation. When components are bolted or otherwise pressed together, a knowledge of the thermal performance of such joints are also needed. Special Reference: Madhusudana, Chakravarti V., Thermal Contact Conductance. W. M. Stacey, Nuclear Reactor Physics, John Wiley & Sons, 2001, ISBN: 0- 471-39127-1. The temperature drop across the interface between materials may be appreciable in these composite systems. Nuclear and Particle Physics. Manage Settings Addison-Wesley Pub. Main purpose of this project is to help the public learn some interesting and important information about engineering and thermal engineering. ISBN: 9780071077866. Robert Reed Burn, Introduction to Nuclear Reactor Operation, 1988. Addison-Wesley Pub. The mathematical approach to calculate thermal contact resistance is very straight forward, however you will need accurate data to plug into the variables. The qualitative interpretation of the results shows that the thermal contact resistance of the interface has a strong influence on the superlattice thermal conductivity. Based on the surface area for the buck-boost board, I can . solid surfaces will ever form a perfect contact when they are pressed Thermal resistance is the reciprocal of thermal conductance . Tiny air gaps will always exist between the two contacting surfaces If so, give us a like in the sidebar. Thermal resistance networks are commonly employed in order to analyse steady state heat transfer. Welcome to SolidWorks Simulation Online Help, Guidelines on Studies with Contact Conditions. The pressure with which the surfaces are forced together. D. L. Hetrick, Dynamics of Nuclear Reactors, American Nuclear Society, 1993, ISBN: 0-894-48453-2. If you want to get in touch with us, please do not hesitate to contact us via e-mail: In thermal engineering, the thermal contact conductance [W/m2.K] or thermal contact resistance [m2.K/W] represents the heat conduction between two solid bodies. This is attributed to the fact that the contact surface between the bodies grows as the contact pressure grows. The pressure with which the surfaces are forced 4. Physics of Nuclear Kinetics. ), then Types of boundary conditions 1- Constant wall temperature (variable . The usefulness of the analogy This limited contact area causes a thermal resistance, the contact resistance or thermal contact resistance. However characterisation of the thermal contact conductance in industrial settings can be difficult as when two materials are fastened together by bolts, screws of rivets the pressure profile at the interface is often non-uniform. together. Williams. |Get a Quote Thermal Resistance (R-Value) Thermal resistance is the temperature difference, at steady state, between two defined surfaces of a material or construction that induces a unit heat flow rate through a unit area, Km2/W. This temperature difference is used to define the contact resistance at the junction, such that: where T1 and T2 are the temperatures of the bounding contact surfaces, S is the area across which the heat is transferred, and ac is the heat transfer coefficient for the junction, or the thermal contact conductance. C. P. Kothandaraman. Care must be taken to assure that galvanic corrosion will not occur with the choice of materials for some applications. 1) You may use almost everything for non-commercial and educational use. Mathematically, the contact resistance formula is given by, RT C = T 1 T 2 q R T C = T 1 - T 2 q Contact resistance units: SI unit: - In SI system, the unit of temperature is K, and the unit of heat flow rate is W/m RT C = T q = K W m2 R T C = T q = K W m 2 = K.m/W SI unit of contact resistance is K.m/w FPS unit: - the differential equation is Put (T = any temp. When a metallic junction is placed in a vacuum, conduction through the contact spots is the primary mode of heat transfer, and the contact resistance is generally greater than when the junction is in the presence of air or other fluid. The thermal conductivity of the interstitial material and its pressure are the two properties governing its influence on contact conductance. C. In view of the significant number of parameters affecting the contact conductance or contact resistance, it has not been possible to develop a single analytical expression for the prediction of the contact resistance at a junction between two materials, except for cases of highly idealized single and multiple contacts. 1) You may use almost everything for non-commercial and educational use. The objective of this article is to illustrate how to calculate the thermal joint resistance for the interface formed by two conforming, rough surfaces shown in Figure 2a, as a function of contact pressure for the low pressure range, between 0.035 and 0.35 Mpa (5 and 50 psi), commonly encountered in microelectronic applications (Latham [3]). of the contact resistance from theoretical models is not a trivial task (refs. Sridhar, M. R. and Yovanovich, M. M. (1993) Critical Review of Elastic and Plastic Contact Conductance Models and Comparison with Experiment, AIAA Paper 93-2776, A1AA Thermophysics Conference, Orlando, Florida, July 69. Thank you for your comments. Secondly, conduction through the gas filled gaps Lambert, M. A. and Fletcher, L. S. (1995) Thermal Contact Conductance of Spherical Rough Metals: Theory and Comparison to Experiment, Proceedings of the ASME/JSME Thermal Engineering Joint Conference, Maui, Hawaii, March 1924. J. R. Lamarsh, Introduction to Nuclear Reactor Theory, 2nd ed., Addison-Wesley, Reading,MA (1983). We and our partners use cookies to Store and/or access information on a device. Williams. to the convection heat transfer coefficient and has the same units (W/m2 oK). This contact area will lead to a drop in temperature. Using the formula from the thermal resistance section, and assuming ambient air temperature is 23C, we can calculate the junction temperature to be: . rate of heat transfer Q is given by Q = A hc contact (Qconduction) We have detected you are using a browser version older than Internet Explorer 7. ISBN: 978-3-319-01276-6. To view the purposes they believe they have legitimate interest for, or to object to this data processing use the vendor list link below. Main purpose of this website is to help the public to learn some interesting and important information about thermal engineering. Click here for information about technical support. For two electrode systems the specific contact resistivity is experimentally defined as the slope of the I-V curve at V = 0 : where J is the current density, or current per area. The Cookies Statement is part of our Privacy Policy. Clarendon Press; 1 edition, 1991, ISBN:978-0198520467, G.R.Keepin. A new method of indirect measuring contact resistance has . Additional Resources |Get a Product Demo The inverse of this property is termed thermal contact resistance. Thermal contact resistance is observed to decrease with decreasing surface roughness and increasing interface pressure. Assuming a representative value of 15 and the rms current of 600 A, the power loss generated by the current will be I2 * R = 5.4 W. At currents of 2000 A, the same interrupter will have to dissipate 60 W. E. E. Lewis, W. F. Miller, Computational Methods of Neutron Transport, American Nuclear Society, 1993, ISBN: 0-894-48452-4. This temperature drop is characterized by the thermal contact conductance coefficient, hc, which is a property indicating the thermal conductivity, or ability to conduct heat, between two bodies in contact. contact resistance, an interfacial conductance, hc, when a satisfactory description of the heat transfer at the interface We assume no responsibility for consequences which may arise from the use of information from this website. K. O. Ott, R. J. Neuhold, Introductory Nuclear Reactor Dynamics, American Nuclear Society, 1985, ISBN: 0-894-48029-4. The results previously obtained by NEMD method , and, in particular, the existence of a minimum for the in-plane thermal conductivity are now confirmed using the EMD method . For optimized display, we suggest upgrading your browser to Internet Explorer 7 or newer. Temperature distribution across flat and cylindrical contacting solids. In the case of metallic composite material, which is placed in a vacuum, thermal conduction through the contact spots is the primary mode of heat transfer. Clarendon Press; 1 edition, 1991, ISBN:978-0198520467, G.R.Keepin. faces. These voids filled with air act as insulation because of the low thermal conductivity of air. Fundamentals of Heat and Mass Transfer. Below are some values for the thermal contact conductance of a selection of metal-metal pairs. The apparent contact pressure and the mean junction temperature, combined with the thermophysical and mechanical properties of the contacting materials and the surface characteristics, are the primary factors in determining the magnitude of the contact resistance. The thermal contact conductance for aluminum plates with a surface roughness of 10 m placed in helium with the interface pressure of 1 atm is h c = 9520 W/m 2 .K The thermal contact conductance for stainless steel plates with a surface roughness of 2.5 m placed in the air with the interface pressure of 1 MPa is about h c = 3000 W/m 2 .K U.S. Department of Energy, Nuclear Physics and Reactor Theory. According to Grujicic et al., thermal contact resistance, and the parameters that influence it, can play a major role in the heat management of electronic devices. Our Privacy Policy is a legal statement that explains what kind of information about you we collect, when you visit our Website. Because of many influential factors, it is difficult to find a general model or computational formula to calculate the TCR of a solid interface. There is an electrical analogy with conduction heat transfer that can be exploited in problem solving. N2 - Thermal contact resistance (TCR) is an important parameter in thermal analysis of materials. 16. . In thermal engineering, the thermal contact conductance [W/m2.K] or thermal contact resistance [m2.K/W] represents the heat conduction between two solid bodies. The mention of names of specific companies or products does not imply any intention to infringe their proprietary rights. EDP Sciences, 2008. The thermal conductivity of the interstitial material and its pressure are the two properties governing its influence on contact conductance. The consent submitted will only be used for data processing originating from this website. Some of our partners may process your data as a part of their legitimate business interest without asking for consent. An elevated temperature at the junction may also cause plastic and/or elastic deformation of the roughness asperities, especially for softer materials, with an associated increase in the actual contact area and a decrease in the contact resistance. The thermal contact resistance can be minimized by applying a thermally conducting liquid called a thermal grease such as CPU grease on the surfaces before they are pressed against each other. These interstitial materials have been categorized as greases and oils; metallic foils and screens; ceramic composites and cements; and synthetic and natural sheets [Fletcher (1972)]. John Wiley & Sons, Incorporated, 2011. Therefore, it may significantly affect device performance, reliability, and life cycle. DT. The conductance hc is similar This is attributed to the fact that the contact surface between the bodies grows as the contact pressure grows. contact resistance information is determined experimentally in order to provide a measure of the thermal performance of a specific configuration or system. Figure4. Fundamentals of Heat and Mass Transfer, 7th Edition. Essentially all of these experimental facilities may be used for evaluation of metallic and nonmetallic materials in contact, or metallic and nonmetallic materials with gaseous or nongaseous interstitial media between the contacting surfaces, over a wide range of test parameters. for normal surface finishes and moderate contact pressures (1 to 10 atm). Glasstone, Sesonske. Nuclear Reactor Engineering: Reactor Systems Engineering,Springer; 4th edition, 1994, ISBN:978-0412985317, W.S.C. Most experimental contact resistance data are obtained using a traditional cut-bar, vertical column test facility in a vacuum or ambient environment over a range of steady-state test conditions. Nuclear and Particle Physics. Use the form below to send your comments and suggestions about this topic directly to our documentation team. 2) You may not distribute or commercially exploit the content, especially on another website. 2.54. The thermal resistance is usually denoted by or R th and can be given by equation: This contact conductance or joint conductance is often reported in the literature and is defined as: The magnitude of the contact conductance is a function of a number of parameters including the thermophysical and mechanical properties of the materials in contact, the characteristics of the contacting surfaces, the presence of gaseous or nongaseous interstitial media, the apparent contact pressure, the mean junction temperature, and the conditions surrounding the junction, as noted by Fletcher (1988).

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