Numerical Study of Unsteady Boundary Layer Flow through A Vertical Surface with Convective Boundary Conditions
DOI:
https://doi.org/10.18311/jmmf/2023/35792Keywords:
Mixed Convection, Similarity Transformation, Suction/Injection, Unsteady FlowAbstract
In the present-day paper the effort is to see the properties of heat allocation over a vertical flat surface for an unsteady mixed, boundary layer convective flow. The non-linear partial differential equations of the present model are transformed in to ordinary differential equations by means of suitable similar transformations. The consequent ordinary differential equations are resolved mathematically by means of MATLAB program bvp4c and discussed the effects of skin friction, suction and injection for temperature and velocity.
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References
Subhashini SV, Samuel N, Pop I. Effects of buoyancy assisting and opposing flows on mixed convection boundary layer flow over a permeable vertical surface. International Communications in Heat and Mass Transfer. 2011 Apr 1; 38(4):499-503. https://doi. org/10.1016/j.icheatmasstransfer.2010.12.041 DOI: https://doi.org/10.1016/j.icheatmasstransfer.2010.12.041
Harris SD, Ingham DB, Pop I. Mixed convection boundary-layer flow near the stagnation point on a vertical surface in a porous medium: Brinkman model with slip. Transport in Porous Media. 2009 Mar; 77:267-85. https://doi.org/10.1007/s11242-008-9309-6 DOI: https://doi.org/10.1007/s11242-008-9309-6
Ahmad S, Pop I. Mixed convection boundary layer flow from a vertical flat plate embedded in a porous medium filled with nanofluids. International Communications in Heat and Mass Transfer. 2010 Oct 1; 37(8):987-91. https:// doi.org/10.1016/j.icheatmasstransfer.2010.06.004 DOI: https://doi.org/10.1016/j.icheatmasstransfer.2010.06.004
Rahman MM, Merkin JH, Pop I. Mixed convection boundary-layer flow past a vertical flat plate with a convective boundary condition. Acta Mechanica. 2015 Aug; 226:2441-60. https://doi.org/10.1108/HFF-09-2012- 0199 DOI: https://doi.org/10.1007/s00707-015-1334-2
Grosan T, Pop I. Axisymmetric mixed convection boundary layer flow past a vertical cylinder in a nanofluid. International Journal of Heat and Mass Transfer. 2011 Jul 1; 54(15-16):3139-45. https://doi.org/10.1016/j. ijheatmasstransfer.2011.04.018 DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2011.04.018
Rashad AM, Chamkha AJ, Modather M. Mixed convection boundary-layer flow past a horizontal circular cylinder embedded in a porous medium filled with a nanofluid under convective boundary condition. Computers & Fluids. 2013 Nov 5; 86:380-8. https://doi. org/10.1016/j.compfluid.2013.07.030 DOI: https://doi.org/10.1016/j.compfluid.2013.07.030
Waini I, Ishak A, Groşan T, Pop I. Mixed convection of a hybrid nanofluid flow along a vertical surface embedded in a porous medium. International Communications in Heat and Mass Transfer. 2020 May 1; 114:104565. https:// doi.org/10.1016/j.icheatmasstransfer.2020.104565 DOI: https://doi.org/10.1016/j.icheatmasstransfer.2020.104565
Khan MR, Pan K, Khan AU, Nadeem S. Dual solutions for mixed convection flow of SiO 2- Al2O3/water hybrid nanofluid near the stagnation point over a curved surface. Physica A: Statistical Mechanics and its Applications. 2020 Jun 1; 547:123959. https://doi. org/10.1016/j.physa.2019.123959 DOI: https://doi.org/10.1016/j.physa.2019.123959
Zainal NA, Nazar R, Naganthran K, Pop I. MHD mixed convection stagnation point flow of a hybrid nanofluid past a vertical flat plate with convective boundary condition. Chinese Journal of Physics. 2020 Aug 1; 66:630-44. https://doi.org/10.1016/j.cjph.2020.03.022 DOI: https://doi.org/10.1016/j.cjph.2020.03.022
Khan U, Shafiq A, Zaib A, Baleanu D. Hybrid nanofluid on mixed convective radiative flow from an irregular variably thick moving surface with convex and concave effects. Case Studies in Thermal Engineering. 2020 Oct 1; 21:100660. https://doi.org/10.1016/j.csite.2020.100660 DOI: https://doi.org/10.1016/j.csite.2020.100660
Sushma S, Samuel N, Neeraja G. Slip flow effects on unsteady MHD blood flow in a permeable vessel in the presence of heat source/sink and chemical reaction. Global Journal of Pure and Applied Mathematics. 2018; 14(8):1083-99.
Unyong B, Govindaraju M, Gunasekaran N, Vadivel R. Unsteady mixed convection nonlinear radiative Casson nanofluid flow with convective boundary condition, heat source and inclined magnetic field effects. Journal of Applied Mathematics and Computational Mechanics. 2021; 20(3). DOI: https://doi.org/10.17512/jamcm.2021.3.06
Takhar HS, Chamkha AJ, Nath G. Unsteady mixed convection flow from a rotating vertical cone with a magnetic field. Heat and Mass Transfer. 2003 Apr; 39(4):297-304. DOI: https://doi.org/10.1007/s00231-002-0400-1
Devi CS, Takhar HS, Nath G. Unsteady mixed convection flow in stagnation region adjacent to a vertical surface. Wärme-und Stoffübertragung. 1991 Mar; 26(2):71-9. DOI: https://doi.org/10.1007/BF01590239
Anilkumar D, Roy S. Unsteady mixed convection flow on a rotating cone in a rotating fluid. Applied Mathematics and computation. 2004 Aug 6; 155(2):545-61. DOI: https://doi.org/10.1016/S0096-3003(03)00799-9
Mithun CN, Hasan MJ, Azad AK, Hossain R, Rahman MM. Effect of unsteady relative thermal and concentration boundary layer thickness on mixed convection in a partially heated contaminated enclosure. South African Journal of Chemical Engineering. 2022 Oct 1; 42:201-15. https://doi.org/10.1016/j.sajce.2022.08.010 DOI: https://doi.org/10.1016/j.sajce.2022.08.010