Parallel numerical computation of mixed convection in a square enclosure with multiple heat sources on Anucluster Mixed convection in a square cavity
The coupled nonlinear partial differential equations modelling the influence of multiple heat sources on the mixed convection process in a fluid saturated vertical porous square enclosure have been solved numerically by Galerkin finite element method in conjuction with the Krylov Solver BICGM. Detai...
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| Vydáno v: | International journal of advances in engineering sciences and applied mathematics Ročník 7; číslo 3; s. 96 - 105 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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New Delhi
Springer India
01.09.2015
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| ISSN: | 0975-0770, 0975-5616 |
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| Abstract | The coupled nonlinear partial differential equations modelling the influence of multiple heat sources on the mixed convection process in a fluid saturated vertical porous square enclosure have been solved numerically by Galerkin finite element method in conjuction with the Krylov Solver BICGM. Detailed parallel numerical computations, based on the message passing libraries from ANULIB, have been carried out on an eight noded ANUCLUSTER to assess the influence of flow governing paremeters such as Rayleigh number and suction/injection velocity on mixed convection process. The obtained results have been analysed for heat and mass transfer in the form of isotherm, streamline and velocity vector plots. Local, cumulative and global heat fluxes have been calculated in the form of corresponding versions of Nusselt number. Computations have also been carried out for the case natural convection due the multiple hot sources. Nusselt numbers from mixed convection process are compared with those from natural convection process. Efficiency and speedup of the parallel computations on ANUCLUSTER have also been assessed and presented. |
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| AbstractList | The coupled nonlinear partial differential equations modelling the influence of multiple heat sources on the mixed convection process in a fluid saturated vertical porous square enclosure have been solved numerically by Galerkin finite element method in conjuction with the Krylov Solver BICGM. Detailed parallel numerical computations, based on the message passing libraries from ANULIB, have been carried out on an eight noded ANUCLUSTER to assess the influence of flow governing paremeters such as Rayleigh number and suction/injection velocity on mixed convection process. The obtained results have been analysed for heat and mass transfer in the form of isotherm, streamline and velocity vector plots. Local, cumulative and global heat fluxes have been calculated in the form of corresponding versions of Nusselt number. Computations have also been carried out for the case natural convection due the multiple hot sources. Nusselt numbers from mixed convection process are compared with those from natural convection process. Efficiency and speedup of the parallel computations on ANUCLUSTER have also been assessed and presented. |
| Author | Sharma, Parul Kumar, B. V. Rathish Nigam, Mohit Kumari, Priti |
| Author_xml | – sequence: 1 givenname: B. V. Rathish surname: Kumar fullname: Kumar, B. V. Rathish email: bvrk@iitk.ac.in organization: Department of Mathematics and Statistics, Indian Institute of Technology Kanpur – sequence: 2 givenname: Mohit surname: Nigam fullname: Nigam, Mohit organization: Department of Mathematics and Statistics, Indian Institute of Technology Kanpur – sequence: 3 givenname: Priti surname: Kumari fullname: Kumari, Priti organization: Department of Mathematics and Statistics, Indian Institute of Technology Kanpur – sequence: 4 givenname: Parul surname: Sharma fullname: Sharma, Parul organization: Department of Mathematics and Statistics, Indian Institute of Technology Kanpur |
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| Cites_doi | 10.1016/j.icheatmasstransfer.2008.09.011 10.1017/S0022112078001718 10.1007/978-94-007-0971-3 10.1017/S0022112000002482 10.1155/2011/124590 10.1016/0017-9310(86)90210-3 10.1007/978-1-4757-3033-3 10.1016/S0169-5983(99)00024-6 10.1016/S0017-9310(03)00122-4 10.1080/10407789508913772 10.1080/10407789708913911 10.1080/10407789808913979 10.1080/10407789508913696 10.1080/10407789608913875 10.1016/j.ijheatmasstransfer.2005.11.022 10.1080/10407780290059657 10.1201/9780415876384 10.1016/j.cnsns.2008.02.011 10.1115/1.3250498 10.1016/S0096-3003(02)00023-1 10.1615/JPorMedia.v13.i6.40 10.1002/cjce.20658 10.1016/0142-727X(90)90027-9 10.1016/j.amc.2006.08.072 10.1615/JPorMedia.v13.i7.40 |
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| Keywords | Finite element method Mixed convection Darcy Porous medium |
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Comput.20031361391491135.76341193560410.1016/S0096-3003(02)00023-1 VafaiKHadimHMikowyczWJSparrowEMOverview of current computational studies of heat transfer in porous media and their applications—natural and mixed convectionAdvances in Numerical Heat Transfer2000New YorkTaylor & Francis331369 SinghNPSinghAKSinghHMixed convection flowpast a porous vertical plate bounded by a porous medium in a rotating system in the presence of magnetic filedJ. Porous Media201013762363310.1615/JPorMedia.v13.i7.40 El-Amin, M.F., Ebrahiem, N.A., Salama, A., Sun, S.: Radiative mixed convection over an isothermal cone embedded in a porous medium with variable permeability. J. Appl. Math. (2011) JayanthiSKumariMEffect of variable viscosity on non-Darcy free or mixed convection flow on a vertical surface in non newtonian fluid saturated porous mediumAppl. Math. 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| References_xml | – reference: InghamDBejanAMamutAEmerging Technologies and Techniques in Porous Media2004DordrechtKluwer1079.7600210.1007/978-94-007-0971-3 – reference: BejanAKrusADHeat Transfer Hand book2003New YorkWiley – reference: KumarBVRKrishna MurthySVSSNVGSangwanVNigamMChandraPNon-Darcy mixed convection in a fluid saturated square porous enclosure under suction effect: part-IJ. Porous Media201013653755410.1615/JPorMedia.v13.i6.40 – reference: JayanthiSKumariMEffect of variable viscosity on non-Darcy free or mixed convection flow on a vertical surface in non newtonian fluid saturated porous mediumAppl. Math. Comput.2007186164316591112.76079231906210.1016/j.amc.2006.08.072 – reference: WalkerKLHomsyGMConvection in a porous cavityJ. Fluid Mech.1978874494740383.7606310.1017/S0022112078001718 – reference: ChenaCKChenCHNonuniform porosity and non-Darcian effects on conjugate mixed convection heat transfer from a plate fin in porous mediaInt. J. Heat Fluid Flow199011657110.1016/0142-727X(90)90027-9 – reference: HassanienIAAl-arabiTHNon-Darcy unsteady mixed convection flow near the stagnation point on a heated vertical surface embedded in a porous medium with thermal radiation and variable viscosityCommun. Nonlinear Sci. Numer. Simul.2009141366137610.1016/j.cnsns.2008.02.011 – reference: BansodVJJadhavRKEffect of double stratification on mixed convection heat and mass transfer from a vertical surface in a fluid-saturated porous mediumHeat Transf.201039378 – reference: BeckermannCViskantaRRamadhyaniSA numerical study of non Darcian natural convection in a vertical enclosure filled with a porous mediumNumer. Heat Transf.—A198610557570 – reference: ElbashbeshyEMAThe mixed convection along a vertical plate embedded in non-Darcian porous medium with suction and injectionAppl. Math. Comput.20031361391491135.76341193560410.1016/S0096-3003(02)00023-1 – reference: AngirasaDMixed convection in a vented enclosure with an isothermal vertical surfaceFluid Dyn. Res.200026421923310.1016/S0169-5983(99)00024-6 – reference: ChenCHNon-Darcy mixed convection from a horizontal surface with variable surface heat flux in porous mediumNumer. Heat Transf. (Part A)19963085986910.1080/10407789608913875 – reference: SinghNPSinghAKSinghHMixed convection flowpast a porous vertical plate bounded by a porous medium in a rotating system in the presence of magnetic filedJ. Porous Media201013762363310.1615/JPorMedia.v13.i7.40 – reference: ChouFCEffect of stagnant conductivity on non-Darcian mixed convection in horizontal square packed chanelsNumer. Heat Transf. (Part A)19952719520910.1080/10407789508913696 – reference: KhanaferKVafaiKDouble diffusive mixed convection in a lid-driven enclosure filled with a fluid saturated porous mediaNumer. Heat Transf. Part A200242546548610.1080/10407780290059657 – reference: VafaiKHadimHMikowyczWJSparrowEMOverview of current computational studies of heat transfer in porous media and their applications—natural and mixed convectionAdvances in Numerical Heat Transfer2000New YorkTaylor & Francis331369 – reference: WaheedMAOdewoleGAAlgbeSOMixed convective heat transfer in rectangular enclosures filled with porous mediaARPN J. Eng. Appl. Sci.2011684760 – reference: VafaiKHand Book of Porous Media2005(2)New YorkTaylor & Francis – reference: ChamkhaAJMixed convection flow along a vertical permeable plate embedded in a porous medium in the presence of transverse magnetic fieldNumer. Heat Transf. (Part A)1998349310310.1080/10407789808913979 – reference: LaiFCVafaiKMixed convection in saturated porous mediaHand Book of Porous Media2000New YorkMarcel Dekker605661 – reference: TrevisanOVBejanAMass and heat transfer by natural convection in a vertical slot filled with a porous mediaInt. J. Heat Mass Transf.19862984034150591.7615210.1016/0017-9310(86)90210-3 – reference: Srinivasacharya, D., RamReddy, Ch.: Mixed convection in a doubly stratified micropolar fluid saturated non-darcy porous medium. Can. J. Chem. Eng., Article first published online (2011) – reference: ChangWJChangWLMixed convection in a vertical tube partially filled with porous mediumNumeri. Heat Transf. (Part A)19952873975410.1080/10407789508913772 – reference: El-Amin, M.F., Ebrahiem, N.A., Salama, A., Sun, S.: Radiative mixed convection over an isothermal cone embedded in a porous medium with variable permeability. J. Appl. Math. (2011) – reference: ChamkhaAJNon-Darcy fully developed mixed convection in a porous medium chanel with heat generation/absorption and hydro magnetic effectsNumer. Heat Transf. (Part A)19973265367510.1080/10407789708913911 – reference: NieldDABejanAConvection in Porous Media1999New YorkSpringer0924.7600110.1007/978-1-4757-3033-3 – reference: KurdyumovVLinanAFree and forced convection around line sources of heat and heated cylinders in porous mediaJ. Fluid Mech.20014273894090991.7607710.1017/S0022112000002482 – reference: PrasadVLaiFAKulackiFAMixed convection in horizontal porous layers heated from belowJ. Heat Transf.198811039540210.1115/1.3250498 – reference: RoslindaNNorsarahaidaADianaFPopIThe Brinkman model for the mixed convection boundary layer flow past a horizontal circular cylinder in a porous mediumInt. J. Heat Mass Transf.200346316731781121.7639110.1016/S0017-9310(03)00122-4 – reference: WongKCSaeidNHNumerical study of non-Darcian effects on jet impingement cooling in a horizontal porous layer in the mixed convection regimeInt. Commun. Heat Mass Transf.200936455010.1016/j.icheatmasstransfer.2008.09.011 – reference: PopIInghamDConvective Heat Tranfer: Mathematical and Computational Modelling of Viscous Fluid and Porous Media2001OxfordPergamon – reference: MahmudSPopIMixed convection in square vented enclosure filled with a porous mediumInt. J. Heat Mass Transf.200649219022061189.7649610.1016/j.ijheatmasstransfer.2005.11.022 – reference: ShiralkarGHaajizadehMTienCLNumerical study of high Rayleigh number numerical convection in a porous enclosureNumer. Heat Transf.—A198362232340545.76092 – reference: InghamDPopITransport Phenomena in Porous Media2005OxfordElsevier – volume: 36 start-page: 45 year: 2009 ident: 131_CR21 publication-title: Int. Commun. 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| Snippet | The coupled nonlinear partial differential equations modelling the influence of multiple heat sources on the mixed convection process in a fluid saturated... |
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| Subtitle | Mixed convection in a square cavity |
| Title | Parallel numerical computation of mixed convection in a square enclosure with multiple heat sources on Anucluster |
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