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2018 | OriginalPaper | Buchkapitel

Numerical Analysis of Unsteady MHD Mixed Convection Flow in a Lid-Driven Square Cavity with Central Heating on Left Vertical Wall

verfasst von : K. Venkatadri, S. Gouse Mohiddin, M. Suryanarayana Reddy

Erschienen in: Applications of Fluid Dynamics

Verlag: Springer Singapore

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Abstract

The article presents a numerical study performed on analysis of unsteady magneto-convective heat transfer in a square enclosure with partial active wall. The thermally insulated top and bottom wall while the left vertical wall is heated at Centre the rest of the left vertical wall is adiabatic and right vertical wall maintained at a lower temperature T c. MAC (Marker-and-Cell) method is used to solve numerically set of dimensionless governing partial differential equations. The effect of local heat source on left wall is evaluated. The influence of the governing of thermophysical parameters, namely Prandtl number, Rayleigh number \(\left( {Ra} \right)\), Hartmann number \(\left( {Ha} \right)\), Grashof number \(\left( {Gr} \right)\) and Reynolds number \(\left( {Re} \right)\), is obtained. The results of streamlines and temperature are presented graphically and discussed.

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Literatur
Zurück zum Zitat Aydin M, Fener RT (2001) Boundary element analysis of driven cavity flow for low and moderate Reynolds numbers. Int J Numer Methods Fluids 37:45–64CrossRefMATH Aydin M, Fener RT (2001) Boundary element analysis of driven cavity flow for low and moderate Reynolds numbers. Int J Numer Methods Fluids 37:45–64CrossRefMATH
Zurück zum Zitat Barragy E, Carey GF (1997) Stream function-vorticity driven cavity solutions using p finite elements. Comput Fluids 26:453–468CrossRefMATH Barragy E, Carey GF (1997) Stream function-vorticity driven cavity solutions using p finite elements. Comput Fluids 26:453–468CrossRefMATH
Zurück zum Zitat Batchelor GK (1967) An introduction to fluid dynamics. Cambridge University Press, UK Batchelor GK (1967) An introduction to fluid dynamics. Cambridge University Press, UK
Zurück zum Zitat Benjamin AS, Denny VE (1979) On the convergence of numerical solutions for 2-D flows in a cavity at large Re. J Comput Phys 33:340–358CrossRefMATH Benjamin AS, Denny VE (1979) On the convergence of numerical solutions for 2-D flows in a cavity at large Re. J Comput Phys 33:340–358CrossRefMATH
Zurück zum Zitat Chamkha AJ (2002) Hydromagnetic mixed convection flow with vertical lid driven cavity in presence of internal heat generation or absorption. Numer Heat Transfer A 41:529–546CrossRef Chamkha AJ (2002) Hydromagnetic mixed convection flow with vertical lid driven cavity in presence of internal heat generation or absorption. Numer Heat Transfer A 41:529–546CrossRef
Zurück zum Zitat Davis GD, Jones IP (1983) Natural convection in a square cavity: a comparison exercise. Int J Numer Methods Fluids 3:227–248CrossRefMATH Davis GD, Jones IP (1983) Natural convection in a square cavity: a comparison exercise. Int J Numer Methods Fluids 3:227–248CrossRefMATH
Zurück zum Zitat Erturk E, Corke TC, GÄokcÄol C (2005) Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers. Int J Numer Methods Fluids 48:747–774 Erturk E, Corke TC, GÄokcÄol C (2005) Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers. Int J Numer Methods Fluids 48:747–774
Zurück zum Zitat Ghia U, Ghia KN, Shin CT (1982) High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. J Comput Phys 48:387–411CrossRefMATH Ghia U, Ghia KN, Shin CT (1982) High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. J Comput Phys 48:387–411CrossRefMATH
Zurück zum Zitat Guo Guanghong, Sharif Muhammad AR (2004) The study of mixed convection in rectangular cavity moving cold vertical walls with various aspect ratios in presence of linear flux heat source on the bottom wall. Int J Therm Sci 43:465–475CrossRef Guo Guanghong, Sharif Muhammad AR (2004) The study of mixed convection in rectangular cavity moving cold vertical walls with various aspect ratios in presence of linear flux heat source on the bottom wall. Int J Therm Sci 43:465–475CrossRef
Zurück zum Zitat Harlow FH, Welch JE (1965) Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys Fluids 8:2182–2190CrossRefMATHMathSciNet Harlow FH, Welch JE (1965) Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys Fluids 8:2182–2190CrossRefMATHMathSciNet
Zurück zum Zitat Iwatsu R, Hyun JM, Kuwahara K (1992) Numerical simulation of flows driven by a torsionally-oscillating lid. J Fluid Eng 114:143–151CrossRef Iwatsu R, Hyun JM, Kuwahara K (1992) Numerical simulation of flows driven by a torsionally-oscillating lid. J Fluid Eng 114:143–151CrossRef
Zurück zum Zitat Kandaswamy P, Muthtamilselvan M, Lee J (2008) Prandtl number effects on mixed Convection in a lid-driven porous cavity. J Porous Media 11:791–801 Kandaswamy P, Muthtamilselvan M, Lee J (2008) Prandtl number effects on mixed Convection in a lid-driven porous cavity. J Porous Media 11:791–801
Zurück zum Zitat Khanafer KM, Al-Amiri AM, Pop I (2007) Numerical simulation of unsteady convection in a driven cavity using an externally exited sliding lid. Eur J Mech B/Fluids 26:669–687CrossRefMATHMathSciNet Khanafer KM, Al-Amiri AM, Pop I (2007) Numerical simulation of unsteady convection in a driven cavity using an externally exited sliding lid. Eur J Mech B/Fluids 26:669–687CrossRefMATHMathSciNet
Zurück zum Zitat Mohamad AA, Viskanta R (1995) Flow and heat transfer in a lid-driven cavity filled with a stably stratified fluid. Appl Math Model 19:465–472CrossRefMATH Mohamad AA, Viskanta R (1995) Flow and heat transfer in a lid-driven cavity filled with a stably stratified fluid. Appl Math Model 19:465–472CrossRefMATH
Zurück zum Zitat Nguyen TH, Prudhomme M (2001) Bifurcation of convection flows in a rectangular cavity subjected to uniform heat fluxes. Int Comm Heat Mass Transfer 28:23–30CrossRef Nguyen TH, Prudhomme M (2001) Bifurcation of convection flows in a rectangular cavity subjected to uniform heat fluxes. Int Comm Heat Mass Transfer 28:23–30CrossRef
Zurück zum Zitat Nishimura T, Kunitsugu K (1997) Fluid mixing and mass transfer in two-dimensional cavities with time-periodic lid velocity. Int J Heat Fluid Flow 18:497–506CrossRef Nishimura T, Kunitsugu K (1997) Fluid mixing and mass transfer in two-dimensional cavities with time-periodic lid velocity. Int J Heat Fluid Flow 18:497–506CrossRef
Zurück zum Zitat Peng YF, Shiau YH, Hwang RR (2003) Transition in a 2-D lid-driven cavity flow. Comput Fluids 32:337–352CrossRefMATH Peng YF, Shiau YH, Hwang RR (2003) Transition in a 2-D lid-driven cavity flow. Comput Fluids 32:337–352CrossRefMATH
Zurück zum Zitat Prasad AK, Koseff JR (1996) Mixed convection heat transfer in a deep lid-driven cavity flow with cold top wall moving constant velocity. Int J Heat Fluid Flow 17:460–467CrossRef Prasad AK, Koseff JR (1996) Mixed convection heat transfer in a deep lid-driven cavity flow with cold top wall moving constant velocity. Int J Heat Fluid Flow 17:460–467CrossRef
Zurück zum Zitat Schreiber R, Keller HB (1983) Driven cavity flows by efficient numerical techniques. J Comput Phys 49:310–333CrossRefMATH Schreiber R, Keller HB (1983) Driven cavity flows by efficient numerical techniques. J Comput Phys 49:310–333CrossRefMATH
Zurück zum Zitat Sriram S, Deshpande AP, Pushpavanam S (2006) Analysis of spatiotemporal variations and flow structures in a periodically driven cavity. J Fluid Eng 128:413–420CrossRef Sriram S, Deshpande AP, Pushpavanam S (2006) Analysis of spatiotemporal variations and flow structures in a periodically driven cavity. J Fluid Eng 128:413–420CrossRef
Metadaten
Titel
Numerical Analysis of Unsteady MHD Mixed Convection Flow in a Lid-Driven Square Cavity with Central Heating on Left Vertical Wall
verfasst von
K. Venkatadri
S. Gouse Mohiddin
M. Suryanarayana Reddy
Copyright-Jahr
2018
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-5329-0_26

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