Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470501979
Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine
Publisher: Wiley, John & Sons, Incorporated
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Chapter 10, Problem 10.20P
To determine
The temperature of wire when wire is heated at 50% of critical flux.
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Students are casting an aluminum cylinder of diameter D = 2.5 cm and length of L = 10 cm from molten aluminum. The heated aluminum comes out of the mold at Ti = 530°C where it is quenched to T = 30°C by a cold-water faucet at T∞= 20°C and ℎ=1000 W/m2⋅K. Assume the thermophysical properties of aluminum are k = 230 W/m⋅K, ρ= 2710 kg/m3, and cp = 0.9 kJ/kg⋅K.
First, determine whether the Lumped Capacitance Method is valid. Then, use the appropriate equation to determine how much time the aluminum cylinder must remain under the faucet to reach the desired temperature.
Most automobiles have a coolant reservoir to catch radiator fluid that may overflow when the engine is hot. Such a radiator, made of copper, is filled to its 12-L capacity when at 10.0°C.
-What volume of radiator fluid, in liters, will overflow when the radiator and fluid reach their 99.5°C operating temperature, given that the fluid’s thermal coefficient of volume expansion is 400.0 × 10-6 / °C? The coefficient of volume expansion for copper is 5.1 × 10-5 /°C.
Chapter 10 Solutions
Fundamentals of Heat and Mass Transfer
Ch. 10 - Show that, for water at 1-atm pressure with...Ch. 10 - The surface of a horizontal. 7-mm-diameter...Ch. 10 - The role of surface tension in bubble formation...Ch. 10 - Estimate the heat transfer coefficient, h,...Ch. 10 - Prob. 10.5PCh. 10 - Prob. 10.6PCh. 10 - Prob. 10.7PCh. 10 - Prob. 10.8PCh. 10 - Calculate the critical heat flux on a large...Ch. 10 - Prob. 10.11P
Ch. 10 - Prob. 10.12PCh. 10 - Prob. 10.13PCh. 10 - Prob. 10.15PCh. 10 - Prob. 10.16PCh. 10 - Consider a gas-fired boiler in which five coiled,...Ch. 10 - Prob. 10.18PCh. 10 - Prob. 10.19PCh. 10 - Prob. 10.20PCh. 10 - Prob. 10.22PCh. 10 - Prob. 10.24PCh. 10 - Prob. 10.25PCh. 10 - A small copper sphere, initially at a uniform,...Ch. 10 - Prob. 10.28PCh. 10 - A disk-shaped turbine rotor is heat-treated by...Ch. 10 - A steel bar, 20 mm in diameter and 200 mm long,...Ch. 10 - Electrical current passes through a horizontal....Ch. 10 - Consider a horizontal. D=1 -mm-diameter platinum...Ch. 10 - Prob. 10.34PCh. 10 - Prob. 10.35PCh. 10 - Prob. 10.36PCh. 10 - Prob. 10.37PCh. 10 - A polished copper sphere of 10-mm diameter,...Ch. 10 - Prob. 10.39PCh. 10 - Prob. 10.40PCh. 10 - Consider refrigerant R-134a flowing in a smooth,...Ch. 10 - Determine the tube diameter associated with p=1...Ch. 10 - Saturated steam at 0.1 bar condenses with a...Ch. 10 - Prob. 10.45PCh. 10 - Prob. 10.46PCh. 10 - Prob. 10.47PCh. 10 - Prob. 10.48PCh. 10 - Prob. 10.50PCh. 10 - Prob. 10.53PCh. 10 - The condenser of a steam power plant consists of...Ch. 10 - Prob. 10.56PCh. 10 - Prob. 10.61PCh. 10 - Prob. 10.62PCh. 10 - A technique for cooling a multichip module...Ch. 10 - Determine the rate of condensation on a 100-mm...Ch. 10 - Prob. 10.66PCh. 10 - Prob. 10.67PCh. 10 - Prob. 10.70PCh. 10 - Prob. 10.71PCh. 10 - Prob. 10.74PCh. 10 - Prob. 10.75PCh. 10 - A thin-walled cylindrical container of diameter D...
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- Determine the heat absorbed, when 1 mol of carbon monoxide gas is heated from 212.4 K to 437.2 K. The relationship for the heat capacity at constant pressure in J mol-1 K-1 is Cp = a + bT + cT2, with a = 25, b = 7.0 x 10^-3, and c = -8 x 10^-7arrow_forwardAir at 2 atm and 200◦C flows inside a 1-in schedule 80 steel pipe with h=65 W/m2 · ◦C. A hot gas with h=180 W/m2 · ◦C flows across the outside ofthe pipe at 400◦C. Calculate the overall heat-transfer coefficient.arrow_forwardQuestion 2 Water flows through a pipe at an average temperature of T = 50°C. The inner and outer radii of the pipe are ri = 6 cm and r2 = 6.5 cm, respectively. The outer surface of the pipe is wrapped with a thin electric heater that consumes 300 W per m length of the pipe. The exposed surface of the heater is heavily insulated so that the entire heat generated in the heater is transferred to the pipe. Heat is transferred from the inner surface of the pipe to the water by convection with a heat transfer coefficient of h = 55 W/m2 . °C. Assuming constant thermal conductivity and one-dimensional heat transfer, express the mathematical formulation (the differential equation and the boundary conditions) of the heat conduction in the pipe during steady operation and obtain temperature distribution in pipe.arrow_forward
- Clearly identify the system, type of system (open/closed), and problem (unsteady/steady), develop the required equations to solve the problem, and clearly highlight your solution.arrow_forwardDetermine the MW and specific heat ratio of a gas whose Cv=1.386 kJ/kg.K and R= 0.485 kJ/Kg.Karrow_forwardThe heat engine shown in the figure uses 2.0 mol of a monatomic gas as the working substance. (Figure 1) Figure p (kPa) 600 400 200 0 0 ہے۔ 0.025 0.050 -V (m³) 1 of 1 Part A Determine T₁, T2, and T3. Enter your answers numerically separated by commas. Express your answer using two significant figures. T₁, T₂, T3 = Submit Request Answer Part B 17 ΑΣΦ AEth: Ws, Q = Submit Determine AEth, Ws, and Q for 1-2. Enter your answers numerically separated by commas. Express your answer using two significant figures. [VD ΑΣΦ ? Request Answer K ? Jarrow_forward
- As shown in the figure below, a system consists of a copper tank whose mass is 23 kg, 4 kg of liquid water, and an electrical resistor of negligible mass. The system is insulated on its outer surface. Initially, the temperature of the copper is 27°C, and the water temperature is 50°C. The electrical resistor transfers 300 kJ of energy to the system. Eventually, the system comes to equilibrium. + Tf= Insulation 10000000 Resistor Determine the final equilibrium temperature, in °C. °C Copper tank initially at 27°C Liquid water, m = 4 kg, initially at 50°Carrow_forwardExample 10: Consider a long resistance wire of radius r1 = 0.2 cm and thermal conductivity kwire = 15 W/m·°C in which heat is generated uniformly as a result of resistance heating at a constant rate of g = 50 W/cm3. The wire is embedded in a 0.5-cm-thick layer of ceramic whose thermal conductivity is kceramic = 1.2 W/m·°C. If the outer surface temperature of the ceramic layer is measured to be Ts = 45°C, determine the temperatures at the center of the resistance wire and the interface of the wire and the ceramic layer under steady conditions.arrow_forwardAn insulated evacuated tank of 1.75-m> volume is attached to a line containing steam at 400 Wa and 513.15 K (240°C). Steam flows into the tank until the pressure in the tank reaches 400 kPa. Assuming no heat flow from the steam to the tank, prepare graphs showing the mass of steam in the tank and its temperature as a function of pressure in the tankarrow_forward
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