This course is aimed at graduate students in the Department that are not chemical engineers. The course includes basic principles of fluid dynamics, heat and mass transfer and is offered at undergraduate education level that is taught to undergraduate students in the Department of Chemical Engineering. The idea is non-chemical engineering students to get basic knowledge on Transport Phenomena and to learn to solve simple transport phenomena problems.
At the end of this course the student will have developed skills to solve simpe problems in transport phenomena. More specifically, the student will learn to draw up the problem by selecting the appropriate control volume, the current equations for each problem, to state the assumptions of the problem clearly and try to combine the mathematical solution with the physical problem.
To attend the course, students are encouraged to refresh their basic knowledge f mechanics if they come from Physics and Mathematics faculty.
Individual course includes the following modules:
The concept of a fluid: The fluid as a continuum. System and control volume. Viscosity. Newtonian and non-Newtonian fluids., Fluid statics: One dimensional steady state, laminar flows. Kinematics: Integral relations for a control volume. The Reynolds Transport Theorem. Relations of system derivatives and the control volume formulation. Conservation of Mass. The equation of continuity. Streamlines, trajectories. Stream function. Macroscopic balances: The linear Momentum Equation. The angular- Momentum Theorem. The Energy Equation.Stress tensor for Newtonian fluids: The equation of Cauchy. Navier- Stokes Equation: Development of the Navier- Stokes equation. Dimensionless form. Reynolds and Froude Number. Ideal flow, Euler equation. Bernoulli Equation. Steady two-dimensional potential flow: Creeping flow. Stokes equation. Two-dimensional, incompressible flow based on the stream function ψ. Flow around a sphere (Stokes problem): Drag force and friction coefficient. Flow around a sphere under slip conditions. Boundary -layers: The boundary layer thicknesses. Laminar flat-plate boundary Layer; Exact solution. Von Karman Integral method.
Introduction to heat transfer: Mechanisms of heat transfer. Individual and overall coefficients of heat transfer. Fourier's Laws of heat conduction. The equations of Energy. Special forms of equation of energy. The commonest boundary conditions. Steady state heat conduction: Fourier equation. Poisson equation. Laplace equation. Steady state one-dimensional heat conduction. Laplace transformation. Transient multidimensional heat conduction. Convection: Forced convection- free convection. Use of dimensionless groups.
Introduction to mass transfer: Definitions. Fick's law. Diffusion coefficient in binary mixtures. Phenomenological theory of molecular diffusion. Differential equations in mass transfer. Special forms of differential equations. Common boundary conditions. Concentration distributions in solids and in laminar flow. Diffusion through a stagnant film. Diffusion with heterogeneous chemical reaction. Diffusion with homogeneous chemical reaction. Diffusion into a falling film. Diffusion and chemical reaction inside a porous catalyst.
Keywords: Statics of fluids, equation of continuity, linear momentum, Law of Newton, thermal conductivity, conduction, convection heat Law of Fourier, diffusion, Law of Fick.
1) A.C. PAYATAKES, Lecturer notes, ‘FLUID MECHANICS’, University of Patras
2) R.B. BIRD, W.E. STEWART, E.D. LIGHTFOOT, ‘TRANSPORT PHENOMENA’, John Wiley & Sons, Inc
3) R. B. FOX, A.T. McDONALD, P.J. PRITCHARD, ‘INTRODUCTION TO FLUID MECHANICS’, John Wiley & Sons, Inc,
4) James Welty, Charles E. Wicks, Gregory L. Rorrer, Robert E. Wilson, Fundamentals of Momentum, Heat and Mass Transfer, John Wiley & Sons; 5th Ed., 2008.
Oral presentations, tutorials, homework, 2 exams.
Presence and active class participation: 10%
Series of exercises (4 fluid mechanics, 2 for mass transfer, 2 for heat transfer): 30%
A. Final exam in Fluid Mechanics (8th week), with double issues (two issues per chapter in total of 5 chapters): 60%
B. Final exam on Transport Phenomena in Heat and Mass Transfer (16th week: 60%.
The final grade is calculated from the average grades of homework and the two final exams.