Problem 5 30 Points Internal Flow Convection 5 Consider Low Speed Constant Property Fully Developed Laminar Flow 1 (45.55 KiB) Viewed 47 times
Problem 5 30 Points Internal Flow Convection 5 Consider Low Speed Constant Property Fully Developed Laminar Flow 2 (25.34 KiB) Viewed 47 times
Problem 5 (30 Points) Internal flow (convection) 5. Consider low-speed, constant-property, fully developed laminar flow between two parallel plates at An engineer is designing the test section of a water loop that will be used for heat transfer studies. The test section consists of a thick-walled, horizontal stainless steel pipe of inner and outer diameters 20 and 40 mm, respectively (see figure). The pipe is heated electrically to provide a uniform volumetric heat generation rate of Q"=105 W/m³. The outer surface of the pipe is thermally insulated, while water flows through the pipe at a rate of 0.01 kg/s. You may neglect kinetic energy effects and axial conduction in this problem. $20 I20 mm 40 mm
(a) If the water inlet temperature is 20 °C and the desired outlet temperature is 40 °C, please determine the required pipe length. (b) What is the length of the thermal entry region for the flow in the pipe? (c) What is the location and value of the maximum inside pipe surface temperature? (d) What is the location and value of the maximum pipe temperature? The heat conduction equation in cylindrical coordinates is k- 10 ror ƏT dr +Q"=0
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