By Bateman H.

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**Extra info for Solutions of a Certain Partial Differential Equation**

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Stating all assumptions, derive a system of equations to carry out a transient analysis. 025 W/m ◦ C). Determine the steady state heat transfer through the window and the temperature of the inner surface for a day when the outside air temperature is −15 ◦ C and the room temperature is 20 ◦ C. 2 Details of the composite wall Material Aluminium Copper Steel Thermal conductivity (W/m ◦ C) Thickness (cm) 200 400 50 5 15 20 surface of the window are 10 W/m2 ◦ C and 40 W/m2 ◦ C respectively. Note that these heat transfer coefﬁcients include the effect of radiation.

If nodes 1 and 3 are directly connected, in addition to the existing arrangement, what change takes place in the nodal pressure and volume ﬂuid in each pipe? The viscosity of the ﬂuid is 1 × 10-2 N s/m2 . For laminar ﬂow, the resistance for the ﬂow is given by 128 µL/π D 4 . 3. 15 shows a direct current circuit. 15. Calculate the voltage at each node and the current in each of the branches using the discrete system analysis. 16. All the ﬁns are of same size. Calculate the heat dissipating capacity of the heat sink per unit length of the heat sink.

Ozisik MN 1968 Boundary Value Problems of Heat Conduction, International Text Book Company, Scranton, PA. Ozisik MN and Czisik MN 1994 Finite Difference Methods in Heat Transfer, CRC Press. Patankar SV 1980 Numerical Heat Transfer and Fluid Flow, Hemisphere Publishers. Reddy JN and Gartling GK 2000 The Finite Element Method in Heat Transfer and Fluid Dynamics, Second Edition, CRC Press. Siegel R and Howell JR 1992 Thermal Radiation Heat Transfer, Third Edition, Hemisphere Publishing Corporation.

### Solutions of a Certain Partial Differential Equation by Bateman H.

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