PROBLEM 6.1 KNOWN: Variation of hx with x for laminar flow over a flat plate. FIND: Ratio of average coefficient, h x , to local coefficient, hx, at x. SCHEMATIC:
ANALYSIS: The average value of hx between 0 and x is hx = hx hx Hence, 1 x C x h x dx
PROBLEM 11.1
KNOWN: Initial overall heat transfer coefficient of a firetube boiler. Fouling factors following one year's application. FIND: Whether cleaning should be scheduled. SCHEMATIC:
ASSUMPTIONS: (1) Negligible tube wall conduction resistance
PROBLEM 12.1
KNOWN: Rate at which radiation is intercepted by each of three surfaces (see (Example 12.1). FIND: Irradiation, G[W/m ], at each of the three surfaces. SCHEMATIC:
2
ANALYSIS: The irradiation at a surface is the rate at which radiation i
PROBLEM 13.1
KNOWN: Various geometric shapes involving two areas A1 and A2. FIND: Shape factors, F12 and F21, for each configuration. ASSUMPTIONS: Surfaces are diffuse. ANALYSIS: The analysis is not to make use of tables or charts. The approach invol
PROBLEM 5.1 KNOWN: Electrical heater attached to backside of plate while front surface is exposed to convection process (T,h); initially plate is at a uniform temperature of the ambient air and suddenly heater power is switched on providing a constan
PROBLEM 3.1 KNOWN: Onedimensional, plane wall separating hot and cold fluids at T,1 and T ,2 , respectively. FIND: Temperature distribution, T(x), and heat flux, q , in terms of T,1 , T,2 , h1 , h 2 , k x and L. SCHEMATIC:
ASSUMPTIONS: (1) Onedim
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PROBLEM 6.7
KNOWN: Distribution of local convection coefficient for obstructed parallel flow over a flat
plate.
FIND: Average heat transfer coefficient and ratio of average to local at the trailing edge.
SCHEMATIC:
ANALYSIS: The average convection coeffic
PROBLEM 1.27
KNOWN: Upper temperature set point, Tset, of a bimetallic switch and convection heat
transfer coefficient between clothes dryer air and exposed surface of switch.
FIND: Electrical power for heater to maintain Tset when air temperature is T =
PROBLEM 2.11
KNOWN: Onedimensional system with prescribed thermal conductivity and thickness.
FIND: Unknowns for various temperature conditions and sketch distribution.
SCHEMATIC:
ASSUMPTIONS: (1) Steadystate conditions, (2) Onedimensional conduction,
PROBLEM 3.6
KNOWN: Curing of a transparent film by radiant heating with substrate and film surface subjected to
known thermal conditions.
FIND: (a) Thermal circuit for this situation, (b) Radiant heat flux, q (W/m2), to maintain bond at
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PROBLEM 1.41
KNOWN: Hot platetype wafer thermal processing tool based upon heat transfer modes by conduction through gas within the gap and by radiation exchange across gap. FIND: (a) Radiative and conduction heat fluxes across gap for specified hot
PROBLEM 1.1 KNOWN: Heat rate, q, through onedimensional wall of area A, thickness L, thermal
conductivity k and inner temperature, T1. FIND: The outer temperature of the wall, T2. SCHEMATIC:
ASSUMPTIONS: (1) Onedimensional conduction in the xdire
PROBLEM 2.1
KNOWN: Steadystate, onedimensional heat conduction through an axisymmetric shape. FIND: Sketch temperature distribution and explain shape of curve. SCHEMATIC:
ASSUMPTIONS: (1) Steadystate, onedimensional conduction, (2) Constant prop
PROBLEM 14.1
KNOWN: Mixture of O2 and N2 with partial pressures in the ratio 0.21 to 0.79. FIND: Mass fraction of each species in the mixture. SCHEMATIC:
pO2 p N2
MO M
=
0.21 0.79
2
= 32 kg/kmol
N2 = 28 kg/kmol
ASSUMPTIONS: (1) Perfect gas beh
PROBLEM 3.101
KNOWN: Dimensions of a plate insulated on its bottom and thermally joined to heat sinks at its ends. Net heat flux at top surface. FIND: (a) Differential equation which determines temperature distribution in plate, (b) Temperature distr
PROBLEM 3.51
KNOWN: Pipe wall temperature and convection conditions associated with water flow through the pipe and ice layer formation on the inner surface. FIND: Ice layer thickness . SCHEMATIC:
ASSUMPTIONS: (1) Onedimensional, steadystate condu
PROBLEM 4.39
KNOWN: Plane surface of twodimensional system.
FIND: The finitedifference equation for nodal point on this boundary when (a) insulated; compare
result with Eq. 4.42, and when (b) subjected to a constant heat flux.
SCHEMATIC:
ASSUMPTIONS: (1