NAVIER SLIP AND CONVECTIVE BOUNDARY CONDITION EFFECTS ON TRANSIENT COMBINED CONVECTION OF DISSIPATIVE FLUID
DOI:
https://doi.org/10.60787/tnamp-19-167-178Keywords:
Navier Slip, Viscos Dissipation, Homotopy perturbation, Convective BoundaryAbstract
This research aims to investigate the unsteady behavior of Navier slip and convective boundary condition on transient mixed convection flow of a viscous dissipative fluid in a vertical channel. To get steady state solutions for temperature and velocity distributions, the Homotopy Perturbation Techniques (HPM) is applied. Numerical solutions of the transient leading equations is performed using the implicit finite difference scheme. Tables and graphs are used to display the dynamic flow parameters. Numerical analysis demonstrates that, increasing the parameters for the Darcy parameter (Da), Biot number (Bii) and mixed convection parameter (Gre) all resulted in an upward flow of fluid, however increasing the parameters for the heat sink and magnetic field resulted in a downward flow of fluid.
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References
M Avci and O. Aydin, Mixed convection in a vertical parallel plate microchannel With Asymmetric WallHeat Fluxes, (2017) J. Heat Transfer. 129, p. 1091–5.
A. Avramenko, A.I. Tyrinov, I.V. Shevchuk, N.P. Dmitrenko, A.V. Kravchuk, and I.V. Shevchuk. Mixedconvection in a vertical flat microchannel, (2017) Int J Heat Mass Transf. 106, p. 1164–73.
B.K. Jha, S. Gabriel, and P.B. Malgwi, Adomian Decomposition Method for combined effect of Hall and ion-slip on mixed convection flow of chemically reacting Newtonian fluid in a micro-channel with heat absorption/generation (2020) Int. J Modern Phys. C. DOI: 10.1142/S0129183120501508.
K. Khanafera, M.S. Aithal, and K. Vafaid, Mixed convection heat transfer in a differentially heated cavity with two rotating cylinders, (2019) Int. J Therm. Sci. 135, p. 117–32.
V.G. Gupta, J. Ajay, and A. Kumar, Mixed Convection Flow of Viscous Dissipating Fluid through Channel Moving in Opposite Direction (2016) IOSR Journal of Mathematics. 12, p. 50-59
Z. Masoud, T. Davood and A. Karimipou, Developing a new correlation to estimate the thermal conductivity of MWCNT-CuO/water hybrid nanofluid via an experimental investigation (2017) J. Therm Anal Calorim. 129, p. 859–67.
H. Xu and Q. Sun. Generalized hybrid nanofluid model with the application of fully developed mixed convection flow in a vertical microchannel, (2019) CommunTheor Phys. 71, p. 903–11.
E. Manay and E. Mandev. Experimental investigation of mixed convection heat transfer of nanofluids in a circular microchannel with different inclination angles, (2019) J. Therm Anal Calorim. 135, p. 887–900.
B. Gebhart. Effect of viscous dissipation in natural convec¬tion, (1962) J. Fluid Mech, 14, p. 225 – 32.
O.A. Ajibade and M.U. Ayuba, Effects of viscous dissipation on a steady mixed convection Couette flow of heat generating/absorbing fluid, (2021a) Journal of Pure and Applied Sciences. 21, p. 67 – 7668.
O.A. Ajibade and M.U. Ayuba, An analytical study on effect of viscous dissipation and suction/injection on a steady MHD natural convection couette flow of heat generation/absorbing fluid, (2021b) Advances in Mechanical Engineering. 13, p. 1 – 12
B.K. Jha and O.A. Ajibade, Effect of viscous dissipation on natural convection flow between vertical parallel plates with time-periodic boundary conditions, (2012) Commun Nonlin Sci Numer Simul. 17, p. 1576–87.
B.K. Jha, D. Daramola and O.A. Ajibade, Mixed convection in an inclined channel filled with porous material having time-periodic boundary conditions: steady-periodic regime, (2015) Trans Porous Media. 2, p. 495–512.
O.A. Ajibade and U.O. Thomas, Entropy generation and irrevers¬ibility analysis due to steady mixed convection flow in a vertical porous channel (2017) Int J. Heat Technol. 35, p. 433–46.
A. Mohamed, Mixed convection flow of a micropolar fluid from an unsteady stretching surface with viscous dis¬sipation. (2013) J. Egypt Math Soc. 21, p. 385–94.
A. Mohamed, Unsteady mixed convection heat transfer along a vertical stretching surface with variable vis¬cosity and viscous dissipation, (2014) J. Egypt Math Soci. 22, p. 529–37.
P. Dulal and M.Hiranmony, Effects of temperature-dependent viscosity and variable thermal conductivity on MHD non-darcy mixed convective diffusion of species over a stretching sheet, (2014) J. Egypt Math Soc. 22, p. 123-133.
Y. Mahmoudi, K. Hooman, and K. Vafai, Convective Heat Transfer in Porous Media, (2020) (New York, USA: Taylor & Francis Group, LLC CRC Press).
S.K. Ahmad, Y. Bello and M.M Hamza, Anumerical investigation of hydro-magnetic mixed convection flow of viscous dissipative fluid in a channel filled with porous material, (2023) J. Trends in Science. https://doi.org/10.48048/tis.2024.6162.
A.J. Chamkha, R.S. Gorla, and K. Ghodeswar, Non-similar solution for natural convective boundary layer flow over a sphere embedded in a porous medium saturated with a nano fluid, (2011) Transp Porous Media. 86(1), p. 13–22.
A.J. Chamkha, Mixed convection flow along a vertical permeable plate embedded in a porous medium in the presence of a transverse magnetic field,” Numerical Heat Transfer, Part A, Applications, (2007) An International Journal of Computation and Methodology. 34(1), p. 93–103.
B.J. Gireesha and S. Sindhu, MHD natural convection flow of casson fluid in an annular microchannel containing porous medium with heat generation/absorption, (2020) Nonlinear engineering. 9, 223-232.
A. Noor, P. Saykat, M.K. Enamul, S.H. Mohammad, L. Giulio, Transient MHD radiative fluid flow over an inclined porous plate with thermal and mass diffusion using numerical approach, (2021) 8(5), p. 739-749
JH He. Homotopy perturbation method for solving boundary value problems. (2006) Phys Lett A 350, p. 87–8.
MM Hamza. Free convection slip flow of an exothermic fluid in a convectively heated vertical channel, (2018) Ain Shams Engineering Journal, 9, 1313-1323.
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