Numerical solution of free stream MHD flow with the effect of velocity slip condition from an inclined porous plate
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
This article is concerned with Magnetohydrodynamic forced convective boundary layer flow past an inclined plate in a porous medium. Additionally the effect of heat generation and velocity parameter. The velocity slip and thermal slip effects on velocity and temperature profiles are taken into the account to address the phenomenon of heat transfer. The fundamental system of partial differential equations with necessary boundary conditions are converted into nonlinear ordinary differential equations. The reduced ordinary differential equations are solved numerically by the Runge-Kutta method of fourth-order. It is observed that the results are significantly influenced by the various dimensionless parameter such as magnetic parameter, Grashof number, Heat generation parameter, Prandtl number, and velocity slip parameter. The impact of pertinent physical quantities on velocity and temperature profile is presented through graphs and tables. The results depicted that Magnetic and porous parameters have the propensity to decrease the velocity profile. Velocity slip condition causes a drop in velocity distribution and reverse behavior is observed for temperature profile.
Abstract
This article is concerned with Magnetohydrodynamic forced convective boundary layer flow past an inclined plate in a porous medium. Additionally the effect of heat generation and velocity parameter. The velocity slip and thermal slip effects on velocity and temperature profiles are taken into the account to address the phenomenon of heat transfer. The fundamental system of partial differential equations with necessary boundary conditions are converted into nonlinear ordinary differential equations. The reduced ordinary differential equations are solved numerically by the Runge-Kutta method of fourth-order. It is observed that the results are significantly influenced by the various dimensionless parameter such as magnetic parameter, Grashof number, Heat generation parameter, Prandtl number, and velocity slip parameter. The impact of pertinent physical quantities on velocity and temperature profile is presented through graphs and tables. The results depicted that Magnetic and porous parameters have the propensity to decrease the velocity profile. Velocity slip condition causes a drop in velocity distribution and reverse behavior is observed for temperature profile.
참고문헌 (32)
- Sakiadis, B. C., "Boundary layer behavior on continuous solid surfaces: I. Boundary layer equations for two-dimensional and axisymmetric flow", AIChE J, 7, pp.26~28 (1961)
- Alam, M. S., "milarity Solutions for Hydromagnetic Free Convective Heat and Mass Transfer Flow along a Semi-Infinite Permeable Inclined Flat Plate with Heat Generation and Thermophoresis", Nonlinear Analysis: Modelling and Control, 12(4), pp.433~445 (2007)
- Ramya, D., "‘Effects of velocity and thermal wall slip on magnetohydrodynamics(MHD)boundary layer viscous flow and heat transfer of a nanofluid over a non-linearly-stretching sheet : a numerical study", Propulsion and Power Research, 7(2), pp.182~195 (2018)
- Sulochana, C., "Effect of frictional heating on mixed convection flow of chemically reacting radiative Casson nanofluid over an inclined porous plate", Alexandria Engineering Journal, 57, pp.2573~2584 (2018)
- Mondal, H., "Thermophoresis and Soret-Dufour on MHD mixed convection mass transfer over an inclined plate with non-uniform heat source", sink and chemical reaction, 2018, pp.9, 2111~2121
- Rasool G., "Taseer Muhammad , Anum Shafiq and Ilyas Khan ; ‘Darcy-Forchheimer relation in Casson type MHD nanofluid flow over non-linear stretching surface", Propulsion and Power Research, 9(2), pp.9~168 (2020)
- Maleki, H., "Heat transfer and nanofluid flow over a porous plate with radiation and slip boundary conditions", J. Cent. South Univ, 26, pp.1099~1115 (2019)[DOI]
- Bhuvaneswari, M., "Free Convection Flow in an Inclined Plate with Variable Thermal Conductivity by Scaling Group Transformations", Proceedings of the 21st National Symposium on Mathematical Sciences (SKSM21) AIP Conf. Proc, pp.440~445
- Srinivasacharya D., "‘Double dispersion effect on nonlinear convective flow over an inclined plate in a micropolar fluid saturated non-Darcy porous medium", Engineering Science and Technology, an International Journal, 21, pp.984~995 (2018)
- Sudarsana, P., "Heat and Mass Transfer Flow of a Nanofluid over an Inclined Plate under Enhanced Boundary Conditions with Magnetic Field and Thermal Radiation", Heat Transfer—Asian Research, 46(7) (2017)
- Sharma, P. R., "Steady MHD flow through horizontal channel: lower being a stretching sheet and upper being a permeable plate bounded by porous medium", Bull. Pure Appl. Sciences (2001)[DOI]
- Mandal, B., "MHD mixed convection on an inclined stretching plate in Darcy porous medium with Soret effect and variable surface conditions", Nonlinear Engineering, 9, pp.457~469 (2020)
- Khuram Rafique, "Numerical Solutions of Micropolar Nanofluid over an Inclined Surface Using Keller Box Analysis", Journal of Mathematics, 2020, pp.1~13 (2020), Hindawi Limited[DOI]
- D. Srinivasacharya, "Non-Darcy Mixed Convection Flow Past a Vertical Porous Plate with Joule Heating, Hall and Ion-Slip Effects", Procedia Engineering, 127, pp.162~169 (2015)
- Fanaee, S. A., "The thermal –fluid investigation of effects of different wall boundary conditions on platinum catalytic micro-channel combined with a thermoelectric system", Alexandria Engineering JournalVolume, 60(6), pp.5675~5685 (2021)
- Ahmmed, S. F., "Unsteady Magnetohydrodynamic Free Convection Flow of Nanofluid Through an Exponentially Accelerated Inclined Plate Embedded in a Porous Medium with Variable Thermal Conductivity in the Presence of Radiation", Journal of Nanofluids, 7, pp.891~901 (2018)
- chamkha,A.J, "Similarity solution for hydromagnetic simultaneous heat and mass transfer by natural convection from an inclined plate with internal heat generation or absorption", ~
- Kaushik, P., "MHD flow of carreau nanofluid towards stagnation point under thermophoresis and brownian motion effect with newtonian heating condition", jp journal of heat and mass transfer, 21(2), pp.183~202 (2020)[DOI]
- Mishra U., "Dual Solutions of Forced Convection Flow along a Stretching Sheet with Variable Thickness in Presence of Free Stream and Magnetic Field", Sains Malaysiana, 46(2), pp.349~358 (2017)
- Kaushik P, "Second-Order Slip Effect on MHD Flow and Radiative Heat Transfer through Porous Medium Due to an Exponentially Stretching Sheet", Walailak Journal of Science and Technology, 19
- Kaushik Preeti, "Slip Effect on an Unsteady Ferromagnetic Fluid Flow Toward Stagnation Point Over a Stretching Sheet", Trends in Mathematics, pp.251~265 (2021), Springer International Publishing[DOI]
- Swain, B. K., "Viscous dissipation and joule heating effect on MHD flow and heat transfer past a stretching sheet embedded in a porous medium", Heliyon, 6(10), pp.e05338~ (2020)
- Mallikarjuna, B., "Velocity and thermal slip effects on MHD convective radiative two-phase flows in an asymmetric non-uniform channel", Propulsion and Power Research, 10(2), pp.169~179 (2021)
- Gbadeyan, J. A., "Effect of variable thermal conductivity and viscosity on Casson nanofluid flow with convective heating and velocity slip", 6(1), pp.e03076~ (2020)
- Ahmad, S., "Heat and mass transfer attributes of copper–aluminum oxide hybrid nanoparticles flow through a porous medium", Case Studies in Thermal Engineering, 25, pp.1~ (2021)
- Zafar, A. A., "Magneto-free-convection flow of a rate type fluid over an inclined plate with heat and mass flux", Case Studies in Thermal Engineering, 27, pp.101249~ (2021)
- Qiang, X., "‘Double diffusive MHD convective flows of a viscous fluid under influence of the inclined magnetic field, source", sink and chemical reaction, 2020, pp.59, 6~
- Swarnalathamma, B. V., "Hall Effects on MHD Free Convective Flow Through Porous Medium in Vertical Channel", Advances in Fluid Dynamics, pp.1027~1040
- Shah, S., "Slip effect on mixed convective flow and heat transfer of magnetized UCM fluid through a porous medium in consequence of novel heat flux model", Results in Physics (2021)
- Ramya, D., "Effects of velocity and thermal wall slip on magnetohydrodynamics (MHD) boundary layer viscous flow and heat transfer of a nanofluid over a non-linearly-stretching sheet: a numerical study", 7(2), pp.182~195 (2018)
- Imran, N., "Influence of chemical reactions and mechanism of peristalsis for the thermal distribution obeying slip constraints: Applications to conductive transportation", Journal of Materials Research and Technology, 9(3), pp.6533~6543 (2020)
- Ahmad, S., "Effect of non-Newtonian flow due to thermally-dependent properties over an inclined surface in the presence of chemical reaction, Brownian motion and thermophoresis", Alexandria Engineering Journal, 60(5), pp.4931~4945 (2021)
