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 7, Problem 7.64P
To determine
To Derive: The expression for the convection heat transfer coefficient as a function of the sensor surface temperature
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The exact expression for the local Nusselt number for laminar flow along a flat plate is given by: Nux=h(x)x/k=0.332Pr1/3Rex1/2. Atmospheric air at Tinf=400K with a velocity uinf=1.5m/s flows over a flat plate L=2m long maintained at a uniform temperature Tw=300K. Calculate the heat transfer rate from the airstream to the plate from x=0 to x=L=2m for w=0.5m.
A.
234 W
B.
334 W
C.
434 W
D.
134 W
A fluid flows at 15 m/s over a wide flat plate 30.5 cm long. For each from the following list, calculate the Reynolds number at the downstream end of the plate. Indicate whether the flow at that point is laminar or turbulent. Assume all fluids are at 50°C. (a) Air, (b) CO2, (c) Water, (d ) Engine oil (unused).
Air at atmospheric pressure and a temperature of 25°C is in parallel flow at a velocity of 5 m/s over a 1‐m‐long flat plate that is heated from below with a uniform heat flux of 1,250 W/m^2. Assume the flow is fully turbulent over the length of the plate.
(a) Calculate the plate surface temperature, Ts(L), and the local convection coefficient, hx(L), at the trailing edge, x = L.
(b) Calculate the average temperature of the plate surface, T¯s.
(c) Plot the variation of the surface temperature, Ts(x), and the convection coefficient, hx(x), with distance on the same graph. Explain the key features of these distributions
Chapter 7 Solutions
Fundamentals of Heat and Mass Transfer
Ch. 7 - Consider the following fluids at a film...Ch. 7 - Engine oil at 100C and a velocity of 0.1 m/s flows...Ch. 7 - Consider steady, parallel flow of atmospheric air...Ch. 7 - Consider a liquid metal (Pr1), with free stream...Ch. 7 - Consider the velocity boundary layer profile for...Ch. 7 - Consider a steady, turbulent boundary layer on and...Ch. 7 - Consider flow over a flat plate for which it is...Ch. 7 - A flat plate of width 1 m is maintained at a...Ch. 7 - An electric air heater consists of a horizontal...Ch. 7 - Consider atmospheric air at 25C and a velocity of...
Ch. 7 - Repeat Problem 7.11 for the case when the boundary...Ch. 7 - Consider water at 27°C in parallel flow over an...Ch. 7 - Explain under what conditions the total rate of...Ch. 7 - In fuel cell stacks, it is desirable to operate...Ch. 7 - The roof of a refrigerated truck compartment is of...Ch. 7 - The top surface of a heated compartment consists...Ch. 7 - Calculate the value of the average heat transfer...Ch. 7 - The proposed design for an anemometer to determine...Ch. 7 - Steel (AISI 1010) plates of thickness =6mm and...Ch. 7 - Consider a rectangular fin that is used to cool a...Ch. 7 - The Weather Channel reports that it is a hot,...Ch. 7 - In the production of sheet metals or plastics, it...Ch. 7 - An array of electronic chips is mounted within a...Ch. 7 - A steel strip emerges from the hot roll section of...Ch. 7 - In Problem 7.23. an anemometer design was...Ch. 7 - One hundred electrical components, each...Ch. 7 - The boundary layer associated with parallel flow...Ch. 7 - Forced air at 250C and 10 m/s is used to cool...Ch. 7 - Air at atmospheric pressure and a temperature of...Ch. 7 - Consider a thin, 50mm50mm fuel cell similar to...Ch. 7 - The cover plate of a flat-plate solar collector is...Ch. 7 - An array of 10 silicon chips, each of length...Ch. 7 - A square (10mm10mm) silicon chip is insulated on...Ch. 7 - A circular pipe of 25-mm outside diameter is...Ch. 7 - An L=1-m- long vertical copper tube of inner...Ch. 7 - A long, cylindrical, electrical heating element of...Ch. 7 - Consider the conditions of Problem 7.49, but now...Ch. 7 - Pin fins are to be specified for use in an...Ch. 7 - Prob. 7.52PCh. 7 - Prob. 7.53PCh. 7 - Hot water at 500C is routed from one building in...Ch. 7 - In a manufacturing process, long aluminum rods of...Ch. 7 - Prob. 7.58PCh. 7 - To determine air velocity changes, it is proposed...Ch. 7 - Determine the convection heat loss from both the...Ch. 7 - Prob. 7.63PCh. 7 - Prob. 7.64PCh. 7 - Prob. 7.67PCh. 7 - A thermocouple is inserted into a hot air duct to...Ch. 7 - Consider a sphere with a diameter of 20 mm and a...Ch. 7 - Prob. 7.76PCh. 7 - A spherical, underwater instrument pod used to...Ch. 7 - Worldwide. over a billion solder balls must be...Ch. 7 - Prob. 7.80PCh. 7 - Prob. 7.81PCh. 7 - Consider the plasma spray coating process of...Ch. 7 - Prob. 7.83PCh. 7 - Tissue engineering involves the development of...Ch. 7 - Consider temperature measurement in a gas stream...Ch. 7 - Prob. 7.89PCh. 7 - A preheater involves the use of condensing steam...Ch. 7 - Prob. 7.91PCh. 7 - A tube bank uses an aligned arrangement of...Ch. 7 - A tube bank uses an aligned arrangement of...Ch. 7 - Repeat Problem 7.94, but with NL=7,NT=10, and...Ch. 7 - Heating and cooling with miniature impinging jets...Ch. 7 - A circular transistor of 10-mm diameter is cooled...Ch. 7 - A long rectangular plate of AISI 304 stainless...Ch. 7 - A cryogenic probe is used to treat cancerous skin...Ch. 7 - Prob. 7.103PCh. 7 - Prob. 7.104PCh. 7 - Prob. 7.105PCh. 7 - Consider the packed bed of aluminum spheres...Ch. 7 - Prob. 7.108PCh. 7 - Prob. 7.109PCh. 7 - Prob. 7.111PCh. 7 - Packed beds of spherical panicles can be sintered...Ch. 7 - Prob. 7.114PCh. 7 - Prob. 7.116PCh. 7 - Prob. 7.117PCh. 7 - Prob. 7.118PCh. 7 - Prob. 7.119PCh. 7 - Prob. 7.120PCh. 7 - Dry air at 35°C and a velocity of 20 m/s flows...Ch. 7 - Prob. 7.123PCh. 7 - Benzene, a known carcinogen, has been spilled on...Ch. 7 - Prob. 7.125PCh. 7 - Prob. 7.126PCh. 7 - Condenser cooling water for a power plant is...Ch. 7 - Prob. 7.128PCh. 7 - In a paper-drying process, the paper moves on a...Ch. 7 - Prob. 7.131PCh. 7 - Prob. 7.132PCh. 7 - Prob. 7.133PCh. 7 - Prob. 7.134PCh. 7 - Prob. 7.136PCh. 7 - It has been suggested that heat transfer from a...Ch. 7 - Prob. 7.138PCh. 7 - Cylindrical dry-bulb and wet-bulb thermometers are...Ch. 7 - The thermal pollution problem is associated with...Ch. 7 - Cranberries are harvested by flooding the bogs in...Ch. 7 - A spherical drop of water, 0.5 mm in diameter, is...Ch. 7 - Prob. 7.143PCh. 7 - Prob. 7.144PCh. 7 - Prob. 7.145PCh. 7 - Prob. 7.146PCh. 7 - Prob. 7.147PCh. 7 - Consider an air-conditioning system composed of a...Ch. 7 - Prob. 7.149P
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A 20 °C water flows to 50cmx60cm flat plate with velocity of 6m/s . The flat plate surface temperature is maintained at 40 °C . The air flows parallel to the 50cm side of the plate. If the kinematic viscosity of water is 78x10-8 m2/s, at what length the flow become turbulent? If the average laminar heat transfer coefficient of water is 7740W/m2 °C , what is the overall heat transfer at the laminar section?arrow_forwardFor each case, calculate an appropriate Reynolds number and indicate whether the flow can be approximated by the creeping flow equations. (a) A microorganism of diameter 5.0 μm swims in room temperature water at a speed of 0.75 mm/s. (b) Engine oil at 140°C flows in the small gap of a lubricated automobile bearing. The gap is 0.0016 mm thick, and the characteristic velocity is 15 m/s. (c) A fog droplet of diameter 10 μm falls through 30°C air at a speed of 4.0 mm/s.arrow_forwardAir at -10° C flows over a smooth sharp-edged, almost flat aerodynamics surface that is held at 10°C, at a speed of 120 km/hr . What is the greatest length the plate can be if the flow is to remain laminar over the entire length of the plate? What would be the average film coefficient be of that plate and what is the heat flux? What are the heights of the fluid and thermal boundary layers at the end of that length? Use Re = 350,000 for the critical Reynolds number.arrow_forward
- Laminar flow occurs when the Reynolds number (Re*) is below 2000; turbulent flow occurs when the Reynolds number is above 2000. For the following species, determine the maximum value of the average 1D speed for which laminar flow will occur: a) Ne at 293 K where ?η is 313 ?μP and ?ρ = (PM)/(RT) through a 2.00 mm (id) pipe b) Liquid water at 293 K where ?η is 0.891 cP and ?ρ = 0.998 g/mL through a 2.00 mm (id) pipe *Re = (?ρ **d)/?η, where d is the diameter of the tube through which the fluid is flowing.arrow_forwardAir at 24°C flows along a 4 m long flat plate with a velocity of 5 m/s. The plate is maintained at 130°C. Calculate the heat transfer coefficient over the entire length of the plate and the heat transfer rate per metre width of the plate.arrow_forwardA tube bank uses an aligned arrangement of 10-mm-diameter tubes with ST = SL = 20 mm. There are 10 rows of tubes with 50 tubes in each row. Consider an application for which cold water flows through the tubes, maintaining the outer surface temperature at 27°C, while flue gases at 427°C and a velocity of 5 m/s are in cross flow over the tubes. The properties of the flue gas may be approximated as those of atmospheric air at 427oC. What is the total rate of heat transfer per unit length of the tubes in the bank?arrow_forward
- Air at standard pressure flows across a flat plate at 3m/s. The temperature surface is 50oC and the surrounding temperature is 20o Consider a point 1m away from the leading edge of the plate. See Table A-15 in Appendix 1 for properties of air. Find the local Nusselt number. Based on this Nusselt number, what is the local convective heat flux from the plate to the air?arrow_forwardExperimental measurements of the convection heat transfer coefficient for a square bar in cross flow yielded the following values: Assume that the functional form of the Nusselt number is Nu = C*Rem*Prn, where C, m, and n are constants. Also, assume that air temperature does not change in the following problem.A. What will be the convection heat transfer coefficient for a similar bar with L = 1 m when V = 15 m/s?B. What will be the convection heat transfer coefficient for a similar bar with L = 1 m when V = 30 m/s?arrow_forward
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