Effect of heat generation and thermal radiation on heat transfer in porous enclosure having t-shape inner geometry

Abstract

The numerical investigation of steady two-dimensional free convection is conducted to analyze the thermal radiation and viscous dissipation effects on heat transfer characteristics in fluid saturated T-shape porous hollow enclosure. The nonlinear partial differential equations in terms of stream function, using Darcy’s law and Boussinesq approximation, are solved numerically using finite difference scheme based on Gauss-Seidel approach. The results of this analysis discussed for the wide range of pertinent parameters such as radiation parameter ( $0 -1$ ), viscous dissipation parameter ( $0 - 0.1$ ) and Rayleigh number ( $100 - 200$ ) in terms of local and average heat flow rate, streamlines and isotherms. The obtained results show that the average heat flow rate is enhanced with radiation parameter and reduced with viscous dissipation parameter. The results are graphically depicted to show the implications of the pertinent parameters in heat and flow field inside the hollow porous enclosure.

Keywords

Steady flow hollow porous enclosure thermal radiation viscous dissipation finite difference method.

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References

Walker

Homsy

GM.

Convection in a porous cavity.

J Fluid Mech 1978; 87: 449–474.

Bejan

On the boundary layer regime in a vertical enclosure filled with a porous medium.

Lett Heat Mass Transf 1979; 6: 93–102.

Beckermann

Viskanta

Ramadhyani

SA.

Numerical study of non-Darcian natural convection in a vertical enclosure filled with a porous medium.

Numer Heat Transf 1986; 10: 557–570.

Moya

Ramos

Sen

Numerical study of natural convection in a tilted rectangular porous porous material. Int J Heat Mass Transf 1987; 30: 741–756.

Manole

DM.

Numerical benchmark results for natural convection in a porous medium cavity.

Heat Mass Trans Porous Media ASME Conf 1992; 216: 55–60.

Baytas

Pop

Free convection in oblique enclosures filled with a porous medium. J Heat Mass Transf 1999; 42: 1047–1057.

Misirlioglu

Baytas

Pop

Free convection in a wavy cavity filled with a porous medium. Int J Heat Mass Transf 2005; 48: 1840–1850.

Lauriat

Prasad

Natural convection in a vertical porous annulus. Convect Heat Mass Trans Porous Media 1991; 196: 143–172.

Yih

KA.

Viscous and Joule heating effects on non-Darcy MHD natural convection flow over a permeable Sphere in porous media with internal heat generation.

Int Commun Heat Mass Transf 2000; 27: 591–600.

10.

Badruddin

Zainal

Khan

, et al. Effect of viscous dissipation and radiation on natural convection in porous medium embedded within vertical annulus. Int J Therm Sci 2007; 46: 221–227.

11.

Zhao

Liu

Tang

GF.

Natural convection in a porous enclosure with a partial heating and salting element. Int J Therm Sci 2008; 47: 569–583.

12.

Moukalled

Darwish

Natural convection heat transfer in a porous rhombic annulus. Numer Heat Transf Part A Appl 2010; 58: 101–124.

13.

Sankar

Park

Lopez

, et al. Numerical study of natural convection in a vertical porous annulus with discrete heating. Int J Heat Mass Transf 2011; 54: 1493–1505.

14.

Badruddin

Al-Rashed

Ahmed

NJS

, et al. Natural convection in a square porous annulus. Int J Heat Mass Transf 2012; 55: 7175–7187.

15.

Fard

Ghasemi

Kohyani

Heat generation effects on natural convection in porous cavity with different walls temperature. Front Heat Mass Transf 2012; 3: 023008.

16.

Sankar

Park

Kim

, et al. Numerical study of natural convection in a vertical porous annulus with an internal heat source: effect of discrete heating. Numer Heat Transf Part A Appl 2013; 63: 687–712.

17.

Ahmed

Oztop

Al-Salem

Natural convection coupled with radiation heat transfer in an inclined porous cavity with corner heater. Comput Fluids 2014; 102: 74–84.

18.

Astanina

Sheremet

Umavathi

JC.

Unsteady natural convection with temperature- dependent viscosity in a square cavity filled with a porous medium. Trans Porous Media 2015; 110: 113–126.

19.

Badruddin

Al-Rashed

, et al. Conjugate heat transfer in annulus with porous medium fixed between solid. Transp Porous Media 2015; 109: 589–608.

20.

Taherzadeha

Saidi

MS.

Natural circulation in vertical porous annular enclosure with heat generation. Sci Iran Trans B Mech Eng 2015; 22: 208.

21.

Makinde

Khan

Culham

JR.

MHD variable viscosity reacting flow over convectively heated plate in a porous medium with thermophoresis and radiative heat transfer. Int J Heat Mass Transf 2016; 93: 595–604.

22.

Moukalled

Darwish

Kasamani

, et al. Buoyancy-induced flow and heat transfer in a porous annulus between concentric horizontal circular and square cylinders. Numer Heat Transf Part A Appl 2016; 69: 1029–1050.

23.

Sankar

Pushpa

Prasanna

BMR

, et al. Influence of size and location of a thin baffle on natural convection in a vertical annular enclosure. J Appl Fluid Mech 2016; 9: 2671–2684.

24.

Esfe

Arani

AAA

Yan

, et al. Natural convection in T-shaped cavities filled with water based suspensions of COOH-functionalized multi walled carbon nanotubes. Int J Mech Sci 2017; 121: 21–32.

25.

Astanina

Sheremet

Umavathi

JC.

Effect of thermal radiation on natural convection in a square porous cavity filled with a fluid of temperature-dependent viscosity. Therm Sci 2018; 22: 391–399.

26.

Alihosseini

Jafari

The effect of porous medium configuration on nanofluid heat transfer. Appl Nanosci 2019; 4: 1–12.

27.

Chandra Shekar

Haritha

Kishan

Magnetohydrodynamic convection in a porous square cavity filled by a nanofluid with viscous dissipation effects.

Proc IMechE, Part E: J Process Mechanical Engineering 2019; 233: 474–488.

28.

Izadi

Oztop

Sheremet

, et al. Coupled FHD–MHD free convection of hybridnanoliquid in an inversed T-shaped enclosure occupied by partitioned porous media. Numer Heat Transf Part A Appl 2019; 76: 479–498.

29.

Nandalur

Kamangar

Badruddin

Heat transfer in porous cavity in presence of square solid block. Int J Numer Methods Heat Fluid Flow 2019; 29: 640–656.

30.

Tanveer

Hayat

Alsaedi

, et al. Heat transfer analysis for peristalsis of MHD Carreau fluid in a curved channel through modified Darcy law. J Mechanics 2019; 35: 527–535.

31.

Hussain

Armaghani

Jamal

Magnetoconvection and entropy analysis in T-shaped porous enclosure using finite element method. J Thermophys Heat Trans 2020; 34: 203–214.

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