Advanced Transport phenomena

Advanced Transport Phenomena:

1. Summary of Vector and Tensor

a) Reynold Transport Theorem

b) Conservation of mass

c) Conservation of momentum

d) Continuity equation

e) Equation of motion

2. Shell Balance in momentum transport

Newton law of viscosity

Boundaries condition for shell momentum balance

a) Flow of a falling film

b) Flow through a circular tube

c) Flow through an annulus

d) Flow of two adjacent immiscible fluids

e) Flow through an infinite plates

3. Shell Balance in energy transport

Fourier law of heat conduction

Boundaries condition for shell energy balance

a) Heat conduction with in electrical heat source

b) Heat conduction through composite wall

c) Heat conduction in a cooling fin

d) Heat conduction with a chemical heat source

e) Heat conduction with a nuclear heat source

f) Heat conduction with a viscous heat source

4. Shell balance in mass transport

Fick's law of binary diffusion

Mass and molar velocities

Boundaries condition for shell mass balance

a) Diffusion through a stagnant gas film

b) Diffusion with a heterogeneous chemical reaction

c) Diffusion into a falling liquid film

d) Diffusion and chemical reaction inside a porous catalyst

5. Advanced Transport problems analysed by Comsol software

1. Flow past through the cylinder in Comsol

2. Heat Conduction in Comsol

3. Diffusion of drugs in Comsol

4. Stefan Tube problem in Comsol

5. Chemical reaction in Tubular reactor in Comsol

6. Rayleigh plateau Instability

Summary of vector and tensor Notation: Vector operations from a geometrical view point. Vector operation from an analytical view point, the vector differential operations, second order tensors, vector and tensor components in curvilinear coordinates, differential operations in curvilinear coordinates. Momentum Transport: Viscosity and the mechanism of momentum transport, Newton’s law of viscosity Energy Transport: Thermal Conductivity and the Mechanism of Energy Transport: Fourier’s Law of heat conduction Mass Transport: Definition of concentrations, velocities and mass fluxes, Fick’s law of diffusion, theory of ordinary diffusion in gases at low density, theory of ordinary diffusion in liquids. Turbulence Phenomena: Basic theory of turbulence, time averaging, intensity and correlation coefficients, isotropic turbulence. Equations of continuity, motion and energy for turbulent condition. Reynolds stresses. Phenomenological theories of turbulence, velocity profile in circular conduits. Convective Transport: Free and forced convective heat transfer and mass transfer, interphase mass transport, mass transfer coefficients-individual and overall, mass transfer theories-film, penetration and surface renewal. Macroscopic studies: momentum and heat balance equation, Kinetics energy calculation. Constant area and variable area flow problems. Flow through bends. Time determination for emptying of vessels.

Reference Books:

1. Bird R B, Stewart W E and Lightfort R N, Transport Phenomena, 2- Edition, 2007,

2. F Welty J R, Wilson R E and Wicks C E, Fundamentals of Momentum, Heat and Mass transfer,5th Edition, 2007.

3. John C Slattery, Advanced Transport Phenomena, Cambridge University Press, 1999.

4. L. Gary Leal, Advanced Transport Phenomena, Cambridge university press, 2007.