ISSN 0718-3291 Printed version

ISSN 0718-3305 Online version

Volume 16 N° 2, July - September 2008

pdf Index

Mixed internal flow with double diffusion of heat and mass

 

Carlos H. Salinas Lira         Yerko A. Gatica Lagos         Pedro A. Pacheco Fernandoy

 

1 Departamento de Ingeniería Mecánica. Universidad del Bío-Bío. Av. Collao 1202. Fono: 731455/731499. Fax: 731022. Concepción, Chile. E-mail: Casali@ubiobio.cl

2 Departamento de Ingeniería Mecánica. Universidad del Bío-Bío. Av. Collao 1202. Fono: 731455/731499. Fax: 731022. Concepción, Chile. E-mail: ygatica@ubiobio.cl

3 Departamento de Mecânica. COPPE-UFRJ. Rio de Janeiro, Brasil. E-mail: ppachecofernandoy@yahoo.es


 

RESUMEN 

El presente trabajo muestra resultados de transporte de calor y masa (Doble) al interior de una cavidad rectangular ocasionado por un flujo convectivo forzado y natural (Mixto). El modelo matemático consta de las ecuaciones de Navier-Stokes para describir el flujo laminar de un fluido incompresible. Además es modelado el transporte de calor y masa a través de dos ecuaciones diferenciales lineales de segunda orden, incorporando en forma lineal los efectos de los gradientes de concentración y de temperaturas. El modelo matemático es resuelto numéricamente a través del Método de Volúmenes Finitos descrito en coordenadas curvilíneas y variables colocalizadas, representando los términos difusivos a través de diferencia central y usando un esquema potencial para los términos convectivos. Se muestran resultados originales de patrones de flujo: Isotermas, isoconcentraciones y números de Nusselt y de Sherwood en regiones características para el problema de flujo interno mixto con difusión de calor y masa. 

Palabras clave: Difusión, convección, cavidad rectangular, flujo laminar, simulación

 

ABSTRACT 

The present work shows the relationship of the transport of heat and mass (double) in a rectangular cavity caused by a  forced and natural convection. The mathematical model consists of the Navier-Stokes equations to describe the incompressible laminar flow. The transport of heat and mass are modelled through two second order no-linear differential equations, incorporating in linear way the effects of gradients of concentrations and temperature. The mathematical problems is solved numerically through the Finite Volumes Method, in curvilinear coordinated and co-located variables, representing the diffusion through central difference and using a potential schemes for the convection terms. Original results of  flow models are shown: Isotherms, isoconcentrations and numbers of Nusselt and Sherwood in characteristic regions for the mixed internal flow problem with heat and mass are shown.

Keywords: Diffusion, convection, square cavity, laminar flow, simulation.

 
 

AGRADECIMIENTOS 

Se agradece a Conicyt y a la Universidad del Bío-Bío, por el financiamiento de los FONDECYT N° 1030209 y FPI Nº 0152112, respectivamente.

 

REFERENCIAS 

[1]  A.F. Emery and J.W. Lee. "The effects of property variations on natural convection in square enclosure". Journal of Heat Transfer. Vol. 121, pp. 57-61. 1999. 

[2]  A.C. Bytas and I. Pop. "Free convection in oblique enclosures filled with a porous medium". International Journal of Heat and Mass Transfer. Vol. 42, pp. 1047-1057. 1999. 

[3]  R.J. Yang and L.M. Fu. "Thermal and flow analysis of a heated electronic component". International Journal of Heat and Mass Transfer. Vol. 44, pp. 2261-2275. 2001. 

[4]  Shun-Shing Lee. "Finite element solutions of laminar and turbulent flows with forced and mixed convection in an air-cooled room". Num. Heat Transfer Part A. Vol. 31, pp. 529-550. 1997. 

[5]  Amri and S. Ben Nasrallah. "Control volume finite numerical simulation of mixed convection in an air-cooled cavity". Numerical Heat Transfer. Part A. Vol. 36, pp. 615-637. 1999. 

[6]  A.J. Chamkha and H. Al-Naser. "Double-diffusive convection in an inclined porous enclosure with opposing temperature and concentration gradients". International Journal Therm. Sci. Vol. 40, pp. 227-244. 2001. 

[7]  A.A. Mohamad and R. Bennacer. "Double diffusion, natural convection in an enclosure filled with saturated porous medium subjected to cross gradients; stably stratified fluid". International Journal of Heat and Mass Transfer. Vol. 45, pp. 3725-3740. 2002. 

[8]  R. Bennacer, A. Mohamad and D. Akrour. "Transient natural flow in an enclosure with temperature and vertical solutal gradients". Int. J. of Therm. Sci. Vol. 40, pp. 899-910. 2001. 

[9]  J.R. Khan, Culham and M.M. Yovanovich. "Fluid flow around and heat transfer from an infinite circular cylinder". Journal of Heat Transfer. Vol. 127 Nº 7. W.A, pp: 785-790. 2005. 

[10] J. Buongiorno. "Convective transport in nanofluids". Journal of Heat Transfer. Vol. 128 Nº 3, pp. 240-250. 2006. 

[11A. Haji-Sheikh. "Fully developed heat Transfer to tluid flow in rectangular passages filled with porous materials". Journal of Heat Transfer. Vol. 128 Nº 6, pp. 550-556. 2006. 

[12] K. Hooman and Ali A. Merrikh. "Analytical solution of forced convection in a duct of rectangular cross  section saturated by a porous medium". Journal of Heat Transfer. Vol. 128 Nº 6, pp. 596-600. 2006. 

[13E.P.F. de Pina and M. S. Carvalho. "Three-dimensional flow of a newtonian liquid through an annular space with axially varying eccentricity". Journal of Fluids Engineering. Vol. 128 Nº 2, pp. 223-231. 2006. 

[14S.V. Patankar. "Numerical heat transfer and fluid flow". Hemisphere Publishing Corporation, Washington, DC. 1980. 

[15J.F. Thompson, Z.U.A Warsi and C.W. Mastin. "Numerical grid generation". Elsevier Science. Publishing. 1985. 

[16C. Hirsch. "Numerical computation of internal and external flows". Vol. 2. John Wiley & Sonc, Inc. New York. 1990. 

[17] G.R. Maliska. "Transferencia de calor y mecánica de fluidos computacional". Livros Técnicos y Científicos Editora S.A. R.J. Brasil. 1995.

 

 


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