By Je-Chin Han

ISBN-10: 1439896895

ISBN-13: 9781439896891

ISBN-10: 1691711721

ISBN-13: 9781691711727

Entrance disguise; Contents; Preface; bankruptcy 1. warmth Conduction Equations; bankruptcy 2. 1-D Steady-State warmth Conduction; bankruptcy three. 2-D Steady-State warmth Conduction; bankruptcy four. temporary warmth Conduction; bankruptcy five. Numerical research in warmth Conduction; bankruptcy 6. warmth Convection Equations; bankruptcy 7. exterior compelled Convection; bankruptcy eight. inner compelled Convection; bankruptcy nine. usual Convection; bankruptcy 10. Turbulent

Chapter 14. Radiation move via GasesAppendix A: Mathematical family and features; again Cover. Read more...

summary: entrance conceal; Contents; Preface; bankruptcy 1. warmth Conduction Equations; bankruptcy 2. 1-D Steady-State warmth Conduction; bankruptcy three. 2-D Steady-State warmth Conduction; bankruptcy four. brief warmth Conduction; bankruptcy five. Numerical research in warmth Conduction; bankruptcy 6. warmth Convection Equations; bankruptcy 7. exterior compelled Convection; bankruptcy eight. inner compelled Convection; bankruptcy nine. normal Convection; bankruptcy 10. Turbulent movement warmth move; bankruptcy eleven. basic Radiation; bankruptcy 12. View issue; bankruptcy thirteen. Radiation alternate in a Nonparticipating Medium.

Chapter 14. Radiation move via GasesAppendix A: Mathematical kin and capabilities; again hide

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**Extra info for Analytical Heat Transfer**

**Example text**

Sketch the equivalent thermal circuit of the system and express all resistances in terms of relevant variables. b. Obtain an expression that may be used to determine the heater temperature, Th . c. Obtain an expression for the ratio of heat flows to the outer and inner fluids, qo /qi . How might the variables of the problem be adjusted to minimize this ratio? SOLUTION a. 11. b. Performing an energy balance for the heater, E˙in = E˙out , it follows that qh (2πr2 ) = qi + qo = + Th − T∞,i (hi 2πr1 )−1 + (ln(r2 /r1 )/2πkB ) + Rtc,B Th − T∞,o (ho 2πr3 )−1 + (ln(r3 /r2 )/2πkA ) + Rtc,A c.

5-mm-thick zirconia TBC is attached to a 5mm-thick Inconel blade wall by means of a metallic bonding agent, which provides an interfacial thermal resistance of Rt,c = 10−4 m2 K/W, can the Inconel be maintained at a temperature that is below its maximum allowable value of 1250 K? Radiation effects may be neglected, and the turbine blade may be approximated as a plane wall. Plot the temperature distribution with and without the TBC. Are there any limits to the thickness of the TBC? 2. 3. Determine heat loss per tube length as the following conditions: Given: Steam Inside the Pipe Air Outside the Pipe T∞1 = 250◦ C T∞2 = 20◦ C h1 = 500 W/m2 K Find: q/L =?

The side surfaces lose heat by convection to a liquid at temperature T∞ . Obtain the steady-state temperature distributions for the following cases: a. q˙ = q˙ o 1 − (x/L)2 , with x measured from the centerplane. b. q˙ = a + b(T − T∞ ) SOLUTION a. q˙ = q˙ o 1 − (x/L)2 x 2 q˙ o d2 T =− 1− 2 k L dx q˙ o 1 x3 dT =− x− dx k 3 L2 T =− q˙ o k + C1 1 2 1 x4 x − 2 12 L2 + C1 x + C2 33 1-D Steady-State Heat Conduction dT = 0 (symmetry); x = L, dx Boundary conditions: x = 0, −k dT = h (T − T∞ ) dx Substituting the boundary conditions into the above equation to replace C1 and C2 , T − T∞ = q˙ o L2 2k 5 1 x 4 x 2 4 + − + 6 6 L L 3Bi b.

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