Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Master
SUBJECT

Code	Subject	
MMM1006	Porous Media and Transfer Phenomena	

Section	Semester	Hours: C+S+L	Category	Type	
Applied Mathematics	4	2+2+0	speciality	optional	

Teaching Staff in Charge	Lect. GROSAN Teodor, Ph.D., tgrosan@math.ubbcluj.ro	
Aims	Students will be able to model fluid flow and heat transfer through porous media.	
Content	1.	Introduction. Characteristics of porous media. Continuity equation and Darcy equation.
2.	Extensions of Darcy&#8217;s law. Introduction to boundary layer theory
3.	Heat transfer in porous media. Boundary layer for fluid flow and heat transfer in  porous media.
4.	Homogenization method. (I). Obtaining Darcy&#8217;s law using homogenization.
5.	Homogenization method. (II). Obtaining energy equation using homogenization.
6.	Forced convection from a flat plate embedded in a porous medium. 
7.	Falkner-Skan equation. Hiemenz equation. 
8.	Free convection from a vertical flat plate embedded in a porous medium.
9.	Free convection from a horizontal flat plate embedded in a porous medium. 
10.	Mixed convection from a vertical flat plate embedded in a porous medium.
11.	Mixed convection from a horizontal flat plate embedded in a porous medium. 
12.	Heat transfer and fluid flow problems in channels filled with porous media.
13.	Heat transfer and fluid flow problems in cavities filled with porous media (I).
14.	Heat transfer and fluid flow problems in cavities filled with porous media (II).
	
Bibliography	1.Groşan T., Transfer Convectiv şi Radiativ de Căldură în Medii Poroase, Casa Cărţii de Stiinţă, Cluj-Napoca, 2004
2.Nield D.A., Bejan A. Convection in Porous Media, Springer, 1998
3.Ene H., Polisevski D., Thermal Flow in Porous Media, Reidel, Dordrecht 1987
4.Gheorghiţă Ş., Introducere în hidrodinamica corpurilor poroase, Ed. Academiei RSR, Bucureşti 1969.
5.Ingham D.B., Pop I., Transport in Porous Media, Pergamon, 1998, 2002.
6.Patankar S.V., Numerical Heat Transfer and Fluid Flow, Hemisphere, 1980
	
Assessment	Final mark is given by:
Written exam:  50%
Seminar activity: 25% 
Research project:  25%