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As in Fig. P24.22, an insulated metal rod has a fixed temperature (T0) boundary

Applied Numerical Methods W/MATLAB: for Engineers & Scientists | 3rd Edition | ISBN: 9780073401102 | Authors: Steven C. Chapra Dr. ISBN: 9780073401102 336

Solution for problem 24.22 Chapter 24

Applied Numerical Methods W/MATLAB: for Engineers & Scientists | 3rd Edition

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Applied Numerical Methods W/MATLAB: for Engineers & Scientists | 3rd Edition | ISBN: 9780073401102 | Authors: Steven C. Chapra Dr.

Applied Numerical Methods W/MATLAB: for Engineers & Scientists | 3rd Edition

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Problem 24.22

As in Fig. P24.22, an insulated metal rod has a fixed temperature (T0) boundary condition at its left end. On it right end, it is joined to a thin-walled tube filled with water through which heat is conducted. The tube is insulated at its right end and convects heat with the surrounding fixedtemperature air (T). The convective heat flux at a location x along the tube (W/m2 ) is represented by Jconv = h(T T2(x)) where h the convection heat transfer coefficient [W/(m2 . K)]. Employ the finite-difference method with x 0.1 m to compute the temperature distribution for the case where both the rod and tube are cylindrical with the same radius r (m). Use the following parameters for your analysis: Lrod=0.6 m, Ltube = 0.8 m, T0 = 400 K, T = 300 K, r = 3 cm, 1 = 7870 kg/m3 , Cp1 = 447 J/(kg . K), k1 = 80.2 W/(m . K), 2 = 1000 kg/m3 , Cp2 = 4.18 kJ/(kg . K), k2 = 0.615 W/(m . K), and h = 3000 W/(m2 . K). The subscripts designate the rod (1) and the tube (2). T0

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Chapter 24, Problem 24.22 is Solved
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Textbook: Applied Numerical Methods W/MATLAB: for Engineers & Scientists
Edition: 3
Author: Steven C. Chapra Dr.
ISBN: 9780073401102

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As in Fig. P24.22, an insulated metal rod has a fixed temperature (T0) boundary

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