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
GUS
CHAPTER 2
Exercises
E2.1 (a) R2, R3, and R4 are in parallel. Furthermore R1 is in series with the combination of the other resistors. Thus we have: 1 =3 Req = R1 + 1 / R2 + 1 / R3 + 1 / R4
(b) R3 and R4 are in parallel. Furthermore, R2 is in se
GUS
CHAPTER 4
Exercises
E4.1 The voltage across the circuit is given by Equation 4.8: v C (t ) = Vi exp( -t / RC )
in which Vi is the initial voltage. At the time t1% for which the voltage reaches 1% of the initial value, we have 0.01 = exp( -t1% /
GUS
CHAPTER 3
Exercises
E3.1
v (t ) = q (t ) / C = 10 -6 sin(10 5t ) /(2 10 -6 ) = 0.5 sin(10 5t ) V dv i (t ) = C = (2 10 -6 )(0.5 10 5 ) cos(10 5t ) = 0.1 cos(10 5t ) A dt
Because the capacitor voltage is zero at t = 0, the charge on the capac
PROBLEM 11.1
KNOWN: Initial overall heat transfer coefficient of a fire-tube boiler. Fouling factors following one year's application. FIND: Whether cleaning should be scheduled. SCHEMATIC:
ASSUMPTIONS: (1) Negligible tube wall conduction resistance
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 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 3.101
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) One-dimensional, steady-state condu
PROBLEM 3.1 KNOWN: One-dimensional, 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) One-dim
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 2.1
KNOWN: Steady-state, one-dimensional heat conduction through an axisymmetric shape. FIND: Sketch temperature distribution and explain shape of curve. SCHEMATIC:
ASSUMPTIONS: (1) Steady-state, one-dimensional conduction, (2) Constant prop
PROBLEM 1.41
KNOWN: Hot plate-type 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