Articles
Thermal and diffusion Cattaneo-Christov heat flux models on Walter’s-B Buongiorno nanofluid over an electromagnetic surface with second order velocity slip
Published 2022-05-25
Keywords
- Cattaneo-Christov, Walter’s B fluid, Buongiorno nanofluid, non-uniform Heat Sink/Source, 2nd order velocity slips, concentration slip, thermal slip.
How to Cite
Suresh, S. (2022). Thermal and diffusion Cattaneo-Christov heat flux models on Walter’s-B Buongiorno nanofluid over an electromagnetic surface with second order velocity slip. Kristu Jayanti Journal of Computational Sciences (KJCS), 2(1), 97–117. https://doi.org/10.59176/kjcs.v2i1.2243
Abstract
The intension of the current study is to explore optimization in heat transfer using Cattaneo-Christovs thermal and the solutal diffusions along with heat source/sink which are non-uniform on a stagnation points flow of nanoWalter’s B fluid over an electromagnetic sheet subjected to the multiple slip mechanisms. This study also scrutinizes the role of electromagnetic fields. The flow equations are modified via incorporating suitable transformations into a self-similarity equalities. Further numerically solved by employing Runge–Kutta method of shooting technique. The acquired results shows good agreement with the previous published works. The noteworthy findings are- Walter’s B nanofluid which flow parallel to the electromagnetic sheet is assisted by the Lorentz force. Electromagnetic sheet can be used for better cooling since improvement in Hartmann declines thermal boundary layer. Augmentation in thermal, velocity, and the solutal slip parameter shrink the hydrodynamic, solutal and thermal boundary layer.
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References
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[29]. A.K. Hakeem, M.K.Nayak, O.D. Makinde, ―Effect of Exponentially Variable Viscosity and Permeability on Blasius Flow of Carreau Nano Fluid over an Electromagnetic Plate through a Porous Medium‖, Journal of Applied and Computational Mechanics.., vol.5,no.2(2019),pp 390-401.
[30]. S.Qayyum, T. Hayat, S.A. Shehzad, A. Alsaedi, ―Effect of a chemical reaction on magnetohydrodynamic (MHD) stagnation point flow of Walters-B nanofluid with Newtonian heat and mass conditions‖, Nuclear Engineering and Technology.., vol.49,no8(2017) ,pp1636-1644.
[31]. A. Shafiq, Z. Hammouch, A.Turab, ―Impact of radiation in a stagnation point flow of Walters’ B fluid towards a Riga plate‖, Thermal Science and Engineering Progress.., vol.6 (2018),pp27-33.
[32]. N. Najib, N. Bachok, N., Arifin, F. Ali, ― Stability Analysis of Stagnation-Point Flow in a Nanofluid over a Stretching/Shrinking Sheet with Second-Order Slip, Soret and Dufour Effects: A Revised Model‖, Applied Sciences..,vol 8,no4(2018),pp642.
[33]. S. Nadeem, R. Mehmood, S.S. Motsa, ―Numerical investigation on MHD oblique flow of Walter's B type nano fluid over a convective surface‖, International Journal of Thermal Sciences.., vol.92(2015),pp 162-172.
[34]. M. Awais, T. Hayat, A. Ali, S. Irum, ―Velocity, thermal and concentration slip effects on a magneto-hydrodynamic nanofluid flow‖,Alexandria Engineering Journal.., vol.55,no3(2016),pp 2107-2114.
[35]. A.A. Hakeem, N.V. Ganesh, B. Ganga, ―Effect of heat radiation in a Walter’s liquid B fluid over a stretching sheet with non-uniform heat source/sink and elastic deformation‖,Journal of King Saud University-Engineering Sciences.., vol.26,no2(2014),pp168-175.
[2]. C.S.K. Raju, S. Saleem, M.M.Al-Qarni, S.U. Mamatha, ―Unsteady nonlinear convection on Eyring–Powell radiated flow with suspended graphene and dust particles‖, Microsystem Technologies.., vol.25,no4,(2019),pp 1321-1331.
[3]. S.Saleem, S.Nadeem, M.M. Rashidi, C.S.K.Raju, “An optimal analysis of radiated nanomaterial flow with viscous dissipation and heat source‖, Microsystem Technologies..,vol. 25,no2,(2019),pp 683-689.
[4]. M. Sheikholeslami, S. Saleem, Ahmad Shafee, Zhixiong Li, T. Hayat, A. Alsaedi, M. Ijaz Khan, “Mesoscopic investigation for alumina nanofluid heat transfer in permeable medium influenced by Lorentz forces‖, Computer Methods in Applied Mechanics and Engineering..,(2019),pp12-18.
[5]. S.Saleem, H. Firdous, S. Nadeem, A.U. Khan, ―Convective heat and mass transfer in magneto Walter’s B nanofluid flow induced by a rotating cone‖, Arabian Journal for Science and Engineering.., vol.44,no2,(2019),pp1515-1523.
[6]. J. Buongiorno, ―Convective transport in nanofluids‖, ASME J. Heat Transf.., vol.128(2006),pp240-250.
[7]. C.S.K. Raju, S. Saleem, S.U. Mamatha, Iqtadar Hussain, ―Heat and mass transport phenomena of radiated slender body of three revolutions with saturated porous: Buongiorno's model‖, International Journal of Thermal Science..,,vol.132(2018),pp309-315.
[8]. S.T. Mohyud-Din, U. Khan, N. Ahmed, M.M. Rashidi, ―A study of heat and mass transfer on magnetohydrodynamic (MHD) flow of nanoparticles‖, Propulsion and Power Research.., vol.7,no.1,(2018),pp72-77.
[9]. M. Sheikholeslami, M. Jafaryar, K. Bateni, D. D. Ganji, ―Two phase modeling of nanofluid flow in existence of melting heat transfer by means of HAM‖, Indian Journal of Physics.., vol.92,no2, (2018),34-50.
[10]. G.K. Reddy, K. Yarrakula, C.S.K. Raju, A. Rahbari, ―Mixed convection analysis of variable heat source/sink on MHD Maxwell, Jeffrey, and Oldroyd-B nanofluids over a cone with convective conditions using Buongiorno’s model‖, Journal of Thermal Analysis and Calorimetry.., vol.132,no 3,(2018),pp 1995-2002.
[11]. L. Liu, L. Zheng, F. Liu, ―Exact solution and invariant for fractional Cattaneo anomalous diffusion of cells in two-dimensional comb framework‖, Nonlinear Dyn..,vol. 89 (2017),pp213-224.
[12]. H. Qi and X. Guo, ―Transient fractional heat conduction with generalized Cattaneo model‖, Int. J. Heat Mass Transf.., vol.76, (2014),pp535–539.
[13]. J. B J. Fourier ,‖Theorieanalytiquede la chaleur Paris‖,1822.
[14]. Cattaneo C. Sulla conduzionedelcalore, AttiSemin. Mat FisUniv Modena Reggio Emilia.., vol.3 (1948),pp 83–101.
[15]. C.I. Christov, ―On frame indifferent formulation of the Maxwell-Cattaneo model of finite-speed heat conduction‖, Mech. Res. Commun.., vol.36 (2009),pp 481–486. doi:10.1016/j.mechrescom.2008.11.003.
[16]. T. Hayat, M. Zubair, M. Waqas, A. Alsaedi, M. Ayub, ―On stratified variable thermal conductivity stretched flow of Walter-B material subject to non-Fourier flux theory‖, Neural Computing and Applications.., vol.31,no1,(2019),pp 199-205.
[17]. T. Hayat, M. Zubair, M. Waqas, A. Alsaedi, M. Ayub, ―Importance of chemical reactions in flow of Walter-B liquid subject to non-Fourier flux modeling‖, Journal of Molecular Liquids.., vol.238(2017),pp229-235.
[18]. S. Mamatha Upadhya, C.S.K. Raju, S. Saleem, A.A .Alderremy, “Modified Fourier heat flux on MHD flow over stretched cylinder filled with dust, Graphene and silver nanoparticles‖, Results in Physics..,vol.9(2018) ,pp1377-1385.
[19]. M. Jayachandra Babu, N. Sandeep, S. Saleem, ―Free convective MHD Cattaneo-Christov flow over three different geometries with thermophoresis and Brownian motion‖, Alexandria Eng. J.., vol.56 (2017),pp 659–669. doi:10.1016/j.aej.2017.01.005. [20]. S. Mamatha Upadhya, C.S.K. Raju, S. Saleem, ―Nonlinear unsteady convection on micro and nanofluids with Cattaneo-Christov heat flux‖, Results in Physics.., vol.9 (2018),pp 779-786.
[21]. G. S.Seth, M.K. Mishra, R. Tripathi, ―MHD free convective heat transfer in a Walter’s liquid-B fluid past a convectively heated stretching sheet with partial wall slip‖, Journal of the Brazilian Society of Mechanical Sciences and Engineering..,vol. 40,no2(2018),pp 103.
[22]. S.U. Mamatha, Mahesha, C.S.K. Raju, ―Multiple Slips Magnetohydrodynamic Carreau Dustynano Fluid Over a Stretched Surface with Cattaneo-Christov Heat Flux‖ , J. Nanofluids.., vol.6 (2017),pp 1074–1081
[23]. N. Najib, N. Bachok, N. Arifin, F. Ali, ―Stability Analysis of Stagnation-Point Flow in a Nanofluid over a Stretching/Shrinking Sheet with Second-Order Slip, Soret and Dufour Effects: A Revised Model‖, Applied Sciences.., vol.8,no4(2018),pp 642.
[24]. S.K. Soid, S.A. Kechil, A. Ishak, ―Axisymmetric stagnation-point flow over a stretching/shrinking plate with second-order velocity slip‖, Propulsion and Power Research.., vol.5, no3(2016),pp 194-201.
[25]. M. Rashid, M.I. Khan, T. Hayat, M.I. Khan, A. Alsaedi, ―Entropy generation in flow of ferromagnetic liquid with nonlinear radiation and slip condition‖, Journal of Molecular Liquids.., vol.276 (2019),pp441-452.
[26]. A.K. Gailitis, O.A. Lielausis, ―On the possibility of drag reduction of a flat plate in an electrolyte‖, Appl. Magnetohydrodyn. Trudy Inst. Fisiky AN Latvia SSR.., vol.12(1961) pp143.
[27]. R.Ahmad, M. Mustafa, M. Turkyilmazoglu, ―Buoyancy effects on nanofluid flow past a convectively heated vertical Riga-plate: A numerical study‖, International Journal of Heat and Mass Transfer.., vol.111(2017),pp 827-835.
[28]. M.K. Nayak, I.S. Oyelakin, S. Mondal, S.S. Sen, ―Impact of the Cattaneo‐Christov thermal and solutal diffusion models on the stagnation point slip flow of Walters' B nanofluid past an electromagnetic sheet‖,Heat Transfer—Asian Research.., vol.48,no2(2019) ,pp713-726.
[29]. A.K. Hakeem, M.K.Nayak, O.D. Makinde, ―Effect of Exponentially Variable Viscosity and Permeability on Blasius Flow of Carreau Nano Fluid over an Electromagnetic Plate through a Porous Medium‖, Journal of Applied and Computational Mechanics.., vol.5,no.2(2019),pp 390-401.
[30]. S.Qayyum, T. Hayat, S.A. Shehzad, A. Alsaedi, ―Effect of a chemical reaction on magnetohydrodynamic (MHD) stagnation point flow of Walters-B nanofluid with Newtonian heat and mass conditions‖, Nuclear Engineering and Technology.., vol.49,no8(2017) ,pp1636-1644.
[31]. A. Shafiq, Z. Hammouch, A.Turab, ―Impact of radiation in a stagnation point flow of Walters’ B fluid towards a Riga plate‖, Thermal Science and Engineering Progress.., vol.6 (2018),pp27-33.
[32]. N. Najib, N. Bachok, N., Arifin, F. Ali, ― Stability Analysis of Stagnation-Point Flow in a Nanofluid over a Stretching/Shrinking Sheet with Second-Order Slip, Soret and Dufour Effects: A Revised Model‖, Applied Sciences..,vol 8,no4(2018),pp642.
[33]. S. Nadeem, R. Mehmood, S.S. Motsa, ―Numerical investigation on MHD oblique flow of Walter's B type nano fluid over a convective surface‖, International Journal of Thermal Sciences.., vol.92(2015),pp 162-172.
[34]. M. Awais, T. Hayat, A. Ali, S. Irum, ―Velocity, thermal and concentration slip effects on a magneto-hydrodynamic nanofluid flow‖,Alexandria Engineering Journal.., vol.55,no3(2016),pp 2107-2114.
[35]. A.A. Hakeem, N.V. Ganesh, B. Ganga, ―Effect of heat radiation in a Walter’s liquid B fluid over a stretching sheet with non-uniform heat source/sink and elastic deformation‖,Journal of King Saud University-Engineering Sciences.., vol.26,no2(2014),pp168-175.