Download GTU BE/B.Tech 2019 Winter 8th Sem New 2180507 Transport Phenomena Question Paper

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GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- VIII (New) EXAMINATION — WINTER 2019
Subject Code: 2180507 Date: 21/11/2019
Subject Name: Transport Phenomena
Time: 02:30 PM TO 05:00 PM Total Marks: 70

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Instructions:

1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1 (a) Explain the Newton’s law of viscosity. 03

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(b) Discuss the two and three parameter rheological models to study the behaviour of Non-Newtonian fluid. 04

(c) Make a differential momentum balance and obtain the expression for the distributions of momentum flux and velocity for the flow of a fluid through a circular tube. 07

Q.2 (a) Give the physical significance of the three kinds of time derivatives used in the equation of change for momentum transport. 03

(b) State and explain Hagen-Poiseulle law with all assumptions. 04

(c) Derive the Navier-Stoke’s equation in cartesian coordinate. 07

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OR

(c) Determine the velocity and shear stress distributions in a couettee viscometer for the tangential laminar flow of an incompressible fluid flowing between two coaxial cylinders, the outer one of which is rotating with an angular velocity O. 07

Q.3 (a) State and explain the general shell energy balance equation. 03

(b) Distinguish between free and forced convection heat transport phenomena. 04

(c) Derive the expression for the heat conduction with chemical heat source. 07

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OR

Q.3 (a) Define thermal conductivity and thermal diffusivity. What are its units? 03

(b) State the significance of Prandtl and Nusselt number. 04

(c) With neat diagram develop a formula for the overall heat transfer coefficient for the two concentric cylindrical pipe wall. 07

Q.4 (a) Why fins are used in heat transfer? Give three examples of convection heat transport in chemical industry. 03

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(b) Explain the various boundary conditions used to solve heat transport problems. 04

(c) Derive the expression for the heat conduction with a viscous heat source. 07

OR

Q.4 (a) State the shell mass balance equation and boundary conditions used for solving the mass transport problems. 03

(b) Explain the molecular diffusion in gases with appropriate equations. 04

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(c) Derive the relation for diffusion through a stagnant gas film. 07

Q.5 (a) Compare Fick’s law of diffusion with Fourier’s law of heat conduction. 03

(b) Using the equation of combination of kinetic theory and corresponding states arguments estimate D_AB for the system of CO-CO₂ at 296.1 K and 1 atm total pressure. The data is given as follows. 04

Species      T_c (K)      P_c (atm)

CO            133            34.5

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CO₂          304.2          72.9

The values for constants are a=2.745 x 10^-4 and b=1.823

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Q.5 (c) Derive an expression of molar flux for the diffusion with homogeneous chemical reaction as A + B -> AB. 07

OR

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(a) Discuss the various methods to calculate the self diffusivity of the binary mixture whose diffusivities are dependent on temperature and pressure. 03

(b) Using the equation of theory of diffusion in gases at low density predict the value of D_AB for the system of CO-CO₂ at 296.1 K and 1 atm total pressure. The data is given as follows. 04

Species      s (Å)      e/k (K)

CO (A)        3.590          110

CO₂(B)      3.996          190

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The collision integral for diffusion O_DAB = 1.067

(c) Derive an equation for the diffusion with heterogeneous chemical reaction. 07

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