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 7.52P
To determine
The pin-fin heat rate, if we doubled the diameter of pin.
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A vertical pipe 90 mm diameter and 2.5 m height is maintained at a constant temperature of 125 o The pipe is surrounded by still
atmospheric air at 25 oC. Find heat loss by natural convection.
Properties of water at 75 oC:
Density = 1.0145 kg/m3
Kinematic viscosity = 20.55 x10-6 m2/s
Prandtl number (Pr) = 0.693
Thermal conductivity (k) = 30.06 x 10–3 W/m K
Consider a flat plate placed inside a wind tunnel, and air at 1 ATM and 20°C is flowing with a free flow velocity of 60 m/s. What is the minimum length of the plate needed for the Reynolds number to reach 2 × 107? If the critical Reynolds number for external flow is 5 × 105, what type of flow regime would the airflow experience at 0.2 m from the leading edge?
I need the solution from fundamental concepts of how the heat flow behaves in the system
Heat transfer. Show all steps for solution
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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- 5.7 The average Reynolds number for air passing in turbulent flow over a 2-m-long, flat plate is . Under these conditions, the average Nusselt number was found to be equal to 4150. Determine the average heat transfer coefficient for an oil having thermal properties similar to those in Appendix 2, Table 18, at at the same Reynolds number and flowing over the same plate.arrow_forwardCompute the Nu numbers for air at 40°C flowing with 4 m/s speed over the following: 1) A Copper sphere of 5 cm in diameter with 80°C isothermal surface temperature 2) A circular Aluminum pipe of 6 cm in diameter with 80°C isothermal surface temperature 3) A bank of 20x20 5-mm diameter tubes arranged in-line with center-to-center distance of 20 mm. Each tube is assumed to have isothermal temperature of 80°C. Please show detailed calculations.arrow_forwardA food product with 80% moisture content in a 5 cm diameter can wants to be frozen. The density of the product is 1000 kg / m cubic, the thermal conductivity is 1.0 W / (m K), and the initial freezing temperature is -1.75 ° C. After 10 hours in -25 ° C freezing medium, the product temperature becomes -10 ° C. Estimate the convection heat transfer coefficient of the freezing medium. Assume the can as an infinite cylinderarrow_forward
- Example 1 Engine oil at 60°C flows over a 5 m long flat plate whose temperature is 20°C with a velocity of 2 m/s with a surface film temperature of 40°C. The density, thermal conductivity, Prandlt No. and kinematic viscosity are 876 kg/m², 0.144 W/m.K, 28270, and 242 x 10$ m²/s, respectively. Determine the total drag force and the rate of heat transfer per unit width of the entire plate. oil T- = 60°C V-=2 m/s T=20°C- L= 5 m We assume the critical Reynolds number is 5x105. The properties of the oil at the film temperature are:arrow_forwardFUNDAMENTALS OF CONVECTION Consider a flat plate positioned inside a wind tunnel, and air at 1 atm and 20°C is flowing with a free stream velocity of 60 m/s. What is the minimum length of the plate necessary for the Reynolds number to reach 2x107? If the critical Reynolds number is 5x105, what type of flow regime would the airflow experience at 0.2 m from the leading edge? Please, I need the solution from fundamental concepts of how the heat flow behaves in the system. That it be answered with theory of the subjectarrow_forwardProblem 2 Consider forced convection of a liquid metal (Pr<<1) over a horizontal flat plate subject to a uniform heat flux q. Using an integral formulation, evaluate the Nusselt number, Nu, for a uniform velocity profile and linear temperature distribution. U Upo = 1 J T-T, y & Too-Tsarrow_forward
- An air heater may be fabricated by coiling Nichrome wire and passing air in cross flow over the wire. Consider a heater fabricated from wire of diameter D = 1 mm, electrical resistivity pe = 106 Q-m, thermal conductivity k = 25 W/m-K, and emissivity & = 0.2. The heater is designed to deliver air at a temperature of T = 350°C under flow conditions that provide a convection coefficient of h = 350 W/m²-K for the wire. The temperature of the housing that encloses the wire and through which the air flows is Tsur = 50°C. (a) If the maximum allowable temperature of the wire is Tmax = 1200°C, what is the maximum allowable electric current I? If the maximum available voltage is AE = 110 V, what is (b) the corresponding length L of wire that may be used in the heater and (c) the power rating of the heater? Hint: In your solution, assume negligible temperature variations within the wire, but after obtaining the desired results, assess the validity of this assumption. Wire (D, L,Pe, k,&, Tmax) ↑1…arrow_forwardCalculate the heat transfer (in Watts) in the first 20 cm of the plate assuming unit depth, if the plate is heated to a temperature of 100C over it complete length with air flowing over it at a temperature of 27°C. [Properties of air at 63.5°C are: k = 0.02749 W/mK, v = 17.36 x 10“ m/s, Cp = 1.006 kJ/kg K and Pr= 0.7.]arrow_forwardEngine oil at 54oC flows over the upper surface of a 5m long plate whose temperature is 20oC with a velocity of 2m/s. What is the heat transfer rate per unit width of the plate?arrow_forward
- Solve it ASAParrow_forwardHello, sorry, I need an answer within 30 to 20 minutes, pleasearrow_forwardThe main body of plenum is a steel vessel of diameter 0.1meters has two semicircle domed ends. During operation is will contain mix of fuel and air at approximately 250OC. The wall of the vessel is 0.03meters thick and the plenum is 0.45meters long. Estimate the rate of heat loss from the vessel when the outside air temperature is 45OC. The thermal conductivity of steel is 45 W/m K and the surface heat transfer coefficient on the air side is 8 W/m2 . On the inside it is 65W/m2 . If it was possible to clad the plenum calculate the reduction in the rate of heat loss. Assume the lagging would be 5mm thick and has a thermal conductivity of 0.05 W/m.arrow_forward
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