tailieunhanh - Heat Transfer Mathematical Modelling Numerical Methods and Information Technology Part 16

Tham khảo tài liệu 'heat transfer mathematical modelling numerical methods and information technology part 16', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Frictional Heating in the Strip-Foundation Tribosystem 589 If the properties of materials of the strip and the foundation are the same then from formulae and that 1 Ằ 0 A 0 . Hence for n 0 from solutions and are obtained Ts r z 0 z 1 T 0 rư c -z 2 z if z T ỊT ierfc -i ierfc 7 -ĩ o Jr 2 Jr -TO z 0 T 0 where the upper sign should be taken when the surface of the strip z d z 1 is kept at zero temperature and bottom - when this surface is insulated. Finally we note that the solution of the corresponding thermal problem of friction for two homogeneous semi-spaces was found in the monograph Grylytskyy 1996 T f z T 2-JZ 1 s .J z ierfc I k 2yỊr 0 z TO T 0 ierfc -z Ì 2Z -TO z 0 T 0. The distribution of dimensionless temperature in the semi-space which is heated up on a surface z 0 with a uniform heat flux of intensity q0 has the well-known form Carslaw and Jaeger 1959 T C t 2sir ierfc I _z l 0 z TO T 0 . k 2sl T J 5. Heat generation at constant friction power. Imperfect contact. In this Chapter the impact of thermal resistance on the contact surface on the temperature distribution in strip-foundation system is investigated. For this purpose we consider the heat conduction problem of friction - on the following assumptions constant pressure p t p r 1 constant velocity V V0 V 1 and zero temperature on the upper surface of the strip . in the boundary condition Bis TO. Solution to the problem Solution of a boundary-value problem of heat conduction in friction - by applying the Laplace integral transforms has form Kf z p As f z p p A p where I Bi As z p l clsh 1 -z Vp 0 z 1 k Vp 590 Heat Transfer - Mathematical Modelling Numerical Methods and Information Technology A f z p hjp shJp e VP _ -OT z 0 A p sBi 2 p Bi . Applying the inverse Laplace transform to Eqs. - with integration along the same contour as in Fig. 2 we obtain the dimensionless .