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ISSN Imprimer: 1064-2285
ISSN En ligne: 2162-6561
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ON FREE CONVECTION FLOW OF A MOVING VERTICAL PERMEABLE PLATE WITH QUADRATIC BOUSSINESQ APPROXIMATION AND VARIABLE THERMAL CONDUCTIVITY
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RÉSUMÉ
The investigation of free convective flow of a moving vertical plate with the buoyancy force modeled as quadratic Boussinesq approximation and variable thermal conductivity is examined due to its applications in thermal engineering systems. The modification is a classical approximation for buoyancy-driven flows of viscous, incompressible fluids with temperatures at the plate and far away from the plate. An appropriate shooting numerical technique is used to provide solutions to the formulated equations. The numerical scheme is confirmed to be stable, consistence, and convergence and a Fehlberg Runge-Kutta scheme is then utilized to completely solve the reduced initial value problem. The computational results are then presented in figures and table. It was noticed that with time variation, the quadratic convection term has insignificant impact on the velocity profile. However, temperature difference encourages heat propagation and fluid flow rate in the device. Hence, in a thermal system, parameters that enhance heat propagation must be controlled to prevent blowup in the system.
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Ghadikolaei, S.S., Hosseinzadeh, K., and Ganji, D.D., Analysis of Unsteady MHD Eyring-Powell Squeezing Flow in Stretching Channel with Considering Thermal Radiation and Joule Heating Effect, Case Studies Therm. Eng., vol. 10, pp. 579-594,2017.
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Hassan, A.R. and Fenuga, O.J., The Effects of Thermal Radiation on the Flow of a Reactive Hydromagnetic Heat Generating Couple Stress Fluid through a Porous Channel, SNAppl. Sci., vol. 12, pp. 1-10,2019.
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Hassan A.R., Salawu S.O., Disu A.B., Aderele O.R., Thermodynamic analysis of a tangent hyperbolic hydromagnetic heat generating fluid in quadratic Boussinesq approximation, Journal of Computational Mathematics and Data Science, 4, 2022. Crossref
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Ram M. Sunder, Shravani K., Shamshuddin Md., Salawu S.O., Magneto-Oldroyd-B fluid flow over an exponentially accelerated vertical porous plate with heat source and reactive agents, International Journal of Modelling and Simulation, 2022. Crossref
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Ram M. Sunder, Spandana K., Shamshuddin Md., Salawu S.O., Mixed convective heat and mass transfer in magnetized micropolar fluid flow toward stagnation point on a porous stretching sheet with heat source/sink and variable species reaction, International Journal of Modelling and Simulation, 2022. Crossref
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Darvesh Adil, Sajid Tanveer, Jamshed Wasim, Ayub Assad, Shah Syed Zahir Hussain, Eid Mohamed R., Hussain Syed M., Akram Mohammad, Hafeez Muhammad Bilal, Krawczuk Marek, Rheology of Variable Viscosity-Based Mixed Convective Inclined Magnetized Cross Nanofluid with Varying Thermal Conductivity, Applied Sciences, 12, 18, 2022. Crossref
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Opadiran Sunday Iyiola, Okoya Samuel Segun, Influence of Non-Linear Radiation and Viscous Dissipation on the Convective Fluid Flow with Variable Viscosity and Quadratic Boussinesq Approximation across a Cylinder with Uniform Heat Flux at the Wall, Defect and Diffusion Forum, 419, 2022. Crossref