Consider a long bar of rectangular cross section (60 mm by 90 mm on a side) and of thermal conductivity 1 W/m-K. The surface is exposed to a convection process with air at 100°C and a convection heat transfer coefficient of 100 W/m2.K, while the remaining surfaces are maintained at 50°C. Use a grid spacing of 30 mm and the Gauss-Seidel iteration metho to solve the problem. Take an initial estimate of 0°C for all the nodal temperatures and ɛ < 0.35°C convergence criterion T, = 100°C h = 100 W/m²-K Fluid 1 - T, = 50°C Av = 30 mm T, = 50°C Ax= 30 mm T = 50°C What is the temperature of Node 2? (Note: Round off the answer up to 2 decimal places.) T2 =[ 51.45 °C

Consider a long bar of rectangular cross section (60 mm by 90 mm on a side) and of thermal conductivity 1 W/m-K. The surface is exposed to a convection process with air at 100°C and a convection heat transfer coefficient of 100 W/m2.K, while the remaining surfaces are maintained at 50°C. Use a grid spacing of 30 mm and the Gauss-Seidel iteration metho to solve the problem. Take an initial estimate of 0°C for all the nodal temperatures and ɛ < 0.35°C convergence criterion T, = 100°C h = 100 W/m²-K Fluid 1 - T, = 50°C Av = 30 mm T, = 50°C Ax= 30 mm T = 50°C What is the temperature of Node 2? (Note: Round off the answer up to 2 decimal places.) T2 =[ 51.45 °C

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

Consider a long bar of rectangular cross section (60 mm by 90 mm on a side) and of thermal conductivity 1 W/m-K. The top
surface is exposed to a convection process with air at 100°C and a convection heat transfer coefficient of 100 W/m2.K,
while the remaining surfaces are maintained at 50°C. Use a grid spacing of 30 mm and the Gauss-Seidel iteration method
to solve the problem. Take an initial estimate of 0°C for all the nodal temperatures and ɛ < 0.35°C convergence criterion.
T = 100°C
h = 100 W/m2-K
Fluid
1
T = 50°C
2
Ay = 30 mm
3
T = 50°C
Ax = 30 mm
T = 50°C
What is the temperature of Node 2?
(Note: Round off the answer up to 2 decimal places.)
T2 =
51.45 °C

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