Homework Answers
First convert mu into MKS unit
1lbm = 0.45 kg
1ft = 0.3048 m
1 hr = 3600 sec
1 kg =103 gm
1 W = 1 J/sec
Observe the units of each parameter. The units get cancelled with each other to give dimensionless number Pr
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Question 7 (10 points) The Prandtl number, Pr, is a dimensionless group important in heat transfer....
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PROBLEM 3 (45 points) The condenser of a large steam power plant is a heat exchanger...
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Please write clearly and answer all parts using MATLAB when asked. The convective heat transfer problem...
Please write clearly and answer all parts using MATLAB when
asked.
The convective heat transfer problem of cold oil (Pr > 10) flowing over a hot surface can be described by the following second-order ordinary differential equations. d^2 T/dx^2 + Pr/2 (0.332/2 x^2) dT/dx = 0 where T is the dimensionless temperature, x is the dimensionless similarity variable, and Pr is called Prandtl number, a dimensionless group that represents the fluid thermos-fluid properties. For oils, Pr = 10 - 1000,...
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1) The convection coefficient, (h) for external convection heat transfer depends on the following (with units in SI of Watts/(m2 Kelvin): The characteristic length, L The fluid thermal conductivity, k The average fluid velocity, V The fluid viscosity, μ The fluid density, ρ The fluid specific heat, cp Using the Buckingham Pi Theorem, determine a set of dimensionless groups that can be used to correlate test data for this problem. Please show all of your work for this problem (i.e....
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PROBLEM 3 (45 points) The condenser of a large steam power plant is a heat exchanger in which steam is condensed to liquid water. Assume the condenser to be a parallel flow shell-and-tube heat exchanger consisting of a single shell and 1x10 tubes, each executing two passes. The inner diameter of tubes is D = 50 mm and its thickness is 5 mm (Do not ignore the thickness). The steam condenses on their outer surface. Thermal conductivity of the tube...
Please write clearly and answer all parts using MATLAB when
asked.
The convective heat transfer problem of cold oil (Pr > 10) flowing over a hot surface can be described by the following second-order ordinary differential equations. d^2 T/dx^2 + Pr/2 (0.332/2 x^2) dT/dx = 0 where T is the dimensionless temperature, x is the dimensionless similarity variable, and Pr is called Prandtl number, a dimensionless group that represents the fluid thermos-fluid properties. For oils, Pr = 10 - 1000,...
(a) (iWhen is heat transfer through a fluid by conduction or by convection? For what case is the rate of heat transfer higher? How does the convection heat transfer coefficient differ from the thermal conductivity of a fluid? (ii) Explain the physical significance of Nusselt number (ii) By definition, discuss hydraulic diameter. Obtain an expression for hydraulic diameter of a circular tube of diameter, D (b) The local atmospheric pressure in Gboko, Benue State Nigeria (elevation 1610 m), is 834...
A liquid (NOT WATER) is passed through a tube with a square cross section of 0.01m x 0.01m at a Reynolds number of 2,000. The liquid has a Prandtl number of 1, a thermal conductivity of 0.2 W/mK, and a heat capacity of 4,000 J/kg*K. Simultaneously, air is blown at a speed of 20 m/s and a temperature of 25°C over the outside of the tube such that the flow is perpendicular to one of the square sides. The liquid...
During air cooling of oranges, grapefruit, and tangelos, the heat transfer coefficient for combined convection, radiation, and evaporation for air velocities of 0.11<V< 0.33 m/s is determined experimentally and is expressed as h = 5.05 KairRe131D, where the diameter Dis 0.1 m. Oranges are cooled by refrigerated air at 5°C and 1 atm at a velocity of 0.3 m/s. Given: The thermal conductivity of the orange is given to be k = 0.50 W/m°C. The thermal conductivity and the kinematic...
During air cooling of oranges, grapefruit, and tangelos, the heat transfer coefficient for combined convection, radiation, and evaporation for air velocities of 0.11<V 0.33 m/s is determined experimentally and is expressed as h=5.05 kairRe13/D, where the diameter Dis 0.1 m. Oranges are cooled by refrigerated air at 5°C and 1 atm at a velocity of 0.3 m/s. Given: The thermal conductivity of the orange is given to be k = 0.50 W/m-°C. The thermal conductivity and the kinematic viscosity of...
1. Steady state heat transfer in a planar system (35 pt) Two large flat porous horizontal plates are separated by a relatively small distance L. The upper plate at y L is at temperature TL, and the lower one at y 0 is to be maintained at a lower temperature To. To reduce the amount of heat that must be removed from the lower plate, a Newtonian fluid at To is driven upward through both plates at a steady rate,...
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