TAILIEUCHUNG - Heat Transfer Handbook part 34

Heat Transfer Handbook part 34. The Heat Transfer Handbook provides succinct hard data, formulas, and specifications for the critical aspects of heat transfer, offering a reliable, hands-on resource for solving day-to-day issues across a variety of applications. | JOINT RESISTANCES OF NONCONFORMING SMOOTH SOLIDS 321 B 1 k2 E k - K k A K k - E k where K k and E k are complete elliptic integrals of the first and second kind of modulus k . The Hertz solution requires the calculation of k the ellipticity K k and E k . This requires a numerical solution of the transcendental equation that relates k K k and E k to the local geometry of hee contacting solids hirough tire geometiic parameters A and B. This is usually accomplished by an iterative numerical procedure. To this end additional geometric parameters have been defined Timoshenko and Goodier 1970 cos t and w 1 B A B - Computed values of m and n or m n and n are presented with t or rn as the independent parameter. Table shows how k m and n depend on the parameter rn over a range of values Aaat so ukl ovver most practical contact psobtems. Tire parameter k may be computed accurately and efficiently by means of the Newton-Raphson iteration method applied to the following relationships Yovanovich 1986 k -E N k new D k TABLE Hertz Contact Parameters and Elastoconstriction Parameter w k m n 322 THERMAL SPREADING AND CONTACT RESISTANCES where N k D k k2 Eki K k A B k4 E k K k k k2 - Ik A B A2 k2k B If hee initial gu-iess for k is based on the following correlation of the results given in

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