Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470917855
Author: Bergman, Theodore L./
Publisher: John Wiley & Sons Inc
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Chapter 1, Problem 1.2P
The heat flux that is applied to the left face of a planewall is
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1. Temperatures are measured at the left-hand face and at a point 4 cm from the left-hand
face of the planar wall shown in the figure below. These temperatures are T₁ = 45.3 °C
and T* = 21.2 °C. The heat flow through the planar wall is steady and one dimensional.
What is the value of T2 at the right-hand surface of the wall?
TI
T*
4 cm
10 cm
T2
Consider a plate whose thickness is 2L=20 cm and thermal conductivity is 44 W/mK. Heat generation
inside the plate (5x105 W/m³) is uniform. The surface of the plate is maintained at Ts=10°C. Find the
temperature at the center of plate.
T
Ts
-L
L X
O a. 45 °C
ОБ.75 °С
О с. 67 оС
O d. 90 °C
O e. 85 °C
A section of a composite wall with the dimensions shown below has uniformtemperatures of 200°C and 50°C over the left and right surfaces, respectively. If the thermal conductivities of the wall materials are: kA = 70 W/(m K), kB = 60 W/(m K), kc = 40 W/(m K) and kD = 20 W/(m K), determine the rate of heat transfer through this section of the wall and the temperatures at the interfaces.
Chapter 1 Solutions
Fundamentals of Heat and Mass Transfer
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- The heat flux that is applied to the left face of a plane wall is q conductivity k = 12 W/m-K. = 50 W/m². The wall is of thickness L = 12 mm and of thermal If the surface temperatures of the wall are measured to be 50°C on the left side and 30°C on the right side, then steady-state conditions have been reached. then steady-state conditions have not been reached.arrow_forwardAn oven made of stone with 3 m length and semi-cylindrical shape losses heat from inlet section of the surface shell (ri = 50 cm) to outlet section (ro = 62 cm) by convection and radiation. According to the system conditions showing on the following figure; calculate Ti value if To temperature is 35 °C (Assume steady state and one dimensional condition and ε = 0,90; σ = 5,67x10-8 W/m2K4)arrow_forwardConsider a composite wall of overall height H = 30 mm and thickness L = 40 mm. Section A hasthickness LA = 15 mm and thermal conductivity of 3 W/(m·K). Sections B and C each have heightHB = 15 mm and thickness LB = 25 mm. The thermal conductivity is 1 W/(m·K) in section B and 2W/(m·K) in section C. The temperatures of the left and right faces of the composite wall are T1 =60°C and T2 = 30°C, respectively. The top and bottom of the wall are insulated. A) Draw a thermal circuit based on heat flux for the composite wall shown above.Assume that the temperature is uniform “vertically” in material A. Indicate thetemperatures, thermal resistances, and heat flux in the circuit diagram. Show theequations for the thermal resistances in the circuits. Do NOT need to perform anycalculations in this part.B. Draw a thermal circuit based on heat flux for the composite wall shown above.Assume that the temperature is NOT uniform “vertically” in material A and heat onlyflows along horizontal direction.…arrow_forward
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