test2_tp_set3

test2_tp_set3 - a Write down energy shell balance on the...

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Test2: TP: 2 Hours: [email protected] 1. A liquid film flowing on an inclined plane is shown in FIGURE Q1 . Using the shell balance , FIGURE Q1 : Liquid film test on a building wall a. Derive velocity profile as a function of -coordinate. y [ 1 2 m a r k s ] b. Derive mass flow rate in kg/hr. [8 marks]

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Test2: TP: 2 Hours: [email protected] 2. An incompressible Newtonian fluid (oil) flows up in one side of a plane and flows down in the other side as shown in FIGURE Q2 FIGURE Q2 : Flow on a plane: up and down. a. Derive velocity profile as a function of , which is the horizontal coordinate from a reference point. r [10 marks] b. Derive the mass flow rate of oil. [10 marks]
Test2: TP: 2 Hours: [email protected] 3. An incompressible fluid is filled between two coaxial spheres is shown in FIGURE Q3 and are the temperatures of the inner and outer cylinder respectively. Inner sphere is rotating with an angular speed of . o T b T FIGURE Q3 Flow between spheres with viscous heat generation.

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Unformatted text preview: a. Write down energy shell balance on the oil in the direction of radial direction. [8 marks] b. Obtain the temperature profile as a function of r for angular velocity = 300 rpm. [ 1 2 M a r k s ] Test2: TP: 2 Hours: [email protected] 4. A typical heat flow is shown in FIGURE Q4, where heat is generated in the solid because of the current flow. FIGURE Q4 Heat flows through a cylinder. a. Formulate shell energy balance along the radial direction for the cylinder shown in FIGURE Q4 for a heat source of S 2 =10+20r . e [8 marks] b. Solve a differential equation for temperature distribution as a function of r. [12 marks] Test2: TP: 2 Hours: [email protected] 5. A typical case of cylinder is shown in FIGURE Q5 . L FIGURE Q5 : Heat flows through a series of cylinders. a. Formulate shell energy balance along the r direction for the shown in FIGURE Q5 . [8 marks] b. Derive expression for overall heat transfer coefficient. [ 1 2 m a r k s ]...
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test2_tp_set3 - a Write down energy shell balance on the...

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