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Posted By: kondapalli Member Level: Gold Posted Date: 05 May 2008
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2007 Jawaharlal Nehru Technological University B.E Chemical TRANSPORT PHENOMENA Question paper
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1. (a) What is transport phenomena? Write the Newton’s law of viscosity, Fourierslaw
of heat conduction and Ficks law of diffusivity and explain why these
three laws can be considered analogous.
(b) A flat plate 15 m long has an edge facing the flow direction. Air is flowing
over the plate at 1000 cm/s. The air properties are = 1.32 gm/lit. and µ =
0.018 cp. Calculate the boundary layer thickness at 125 cm from the leading
edge. [16]
2. Derive the momentum and velocity distribution equation for a fluid flowing through
a circular tube. The flow is laminar and steady. [16]
3. Derive an equation for the temperature distribution in laminar tube flow. [16]
4. Air at 270C flows normal to a 730C, 30mm o.d. water pipe. The air moves at 1m/s.
Estimate the rate of heat transfer per unit length kinematic viscosity=1.624m2/s,
Thermal conductivity=0.0261W/mk, Npr for air=0.702 [16]
5. Chlorine is being absorbed from a gas in a small experimental wetted wall tower.
The absorbing fluid is water, which is moving with an average velocity of 17.7
cm/sec. What is the absorption rate in g moles / hour if DCl2-H2O = 1.26 ×10-5
cm2/sec. in the liquid phase and if the saturation concentration of chlorine in water
is 0.823 g Cl2 per 100 g of water. Ignore chemical reaction between Cl2 and H2O.
The tower height is 13 cm and radius 1.4 cm. [16]
6. Explain the following:
(a) The partial time derivative
(b) Total time derivative
(c) Substantial time derivative
(d) Navier-stokes equation [4×4=16]
7. Consider an isothermal incompressible fluid radially between two porous cylindrical
shells. Assume steady, axisymmetric, laminar flow and neglect the end effects.
(a) Obtain a differential equation using the equation of motion.
(b) Solve the above equation and find the raidal pressure distribution along the
radius of the pipe. [6+10]
8. Show that the ratio of average to maximum velocity for turbulent flow in smooth
circular tube is
V z
V zMax
= 2n2
(n+1)(2n+1) [16]
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