Three parametric Prabhakar fractional derivative-based thermal analysis of Brinkman hybrid nanofluid flow over exponentially heated plate

Case Studies in Thermal Engineering, Journal Year: 2023, Volume and Issue: 47, P. 103077 - 103077

Published: May 15, 2023

Fractional calculus yields numerous implementations in different fields such as biological materials, physical memory, oscillation, wave propagation, and viscoelastic dynamics. Due to the significant applications of fractional calculus, current study deals with derivative base a Brinkman hybrid nanofluid an inclined magnetic field. A three-parametric Prabhakar involvement Mittag-Leffler function is implemented. vertical plate moving exponential velocity considered be source flow mechanism. Moreover, effects heating are incorporated into thermal analysis. An appropriate group dimensionless ansatz adopted get setup equations. The operator implemented equations which further tackled by effectual Laplace transform technique. inverse Stehfest method Tzou's tackle inversion transform. This exhibits that constraints minimize both temperature velocity. distribution deteriorates corresponding improved parameter. parameter fluid's viscosity directly related each other. With parameter, fluid increases. As result, motion decreases.

Language: Английский

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Comparative heat transfer analysis of Fe ₃ O ₄ /Graphene-water hybrid nanofluid in unsteady hydrodynamic Lapwood-Brinkmann Forchheimer medium over a curved elongating region

International Journal of Ambient Energy, Journal Year: 2024, Volume and Issue: 45(1)

Published: Feb. 16, 2024

In the current work, MHD flow across an elongating surface is investigated using water based (Fe3O4 and Graphene) hybrid nanoparticles with unsteady state. A mathematical model elucidated for curvilinear coordinates in partial differential equations appropriate boundary conditions subject to a magnetic field, Forchheimer thermal radiation from flow's geometry. The Newton Rapshon built-in shooting procedure was adopted Maple software numerically analyse transformed non-dimensional systems of governing equations. Graphs have been plotted further illustrate influence emerging factors on fluid velocity temperature profiles. It discovered that Forchhemier parameters both increase friction drag, also expansion parameter high-volume proportion raise heat transfer rate, respectively. Furthermore, growing values curvature cause rate decrease drag increase. Heat transmission fluids governs heating cooling engineering applications, so it observed study nanofluids greater rate. Also, our results are compared existing literature particular case, found be good agreement.

Language: Английский

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Numerical thermal investigation of radiative magnetohydrodynamics axisymmetric Cu-Al ₂ O ₃ /H ₂ O hybrid nanofluid flow over an unsteady radially stretched surface

International Journal of Ambient Energy, Journal Year: 2024, Volume and Issue: 45(1)

Published: Feb. 27, 2024

The current work focuses on conducting a numerical thermal investigation of nanofluid and hybrid flow over unsteady radial stretching surfaces. To perform comprehensive analysis, lamina hexahedron-shaped Aluminum Oxide (Al2O3) Copper (Cu) nanomaterial are immersed in water-based fluid. Furthermore, we take into account the impact magnetohydrodynamics (MHD) radiation. cylindrical coordinate system is utilised for mathematical modeling. governing nonlinear PDEs converted to ODEs by utilising appropriate similarity transformation then solved numerically MATLAB. By using graphs bar charts, visually depict significant physical attributes velocity, temperature, skin friction, Nusselt numbers. As per findings, experienced notable deceleration due influence suction parameter (S), unsteadiness (A), magnetic (M). exhibits lowest temperature slowest velocity. In case composed water (H2O), highest number observed along with friction. These recent findings hold potential offer advantages academic research, lubrication processes, polymer industry.

Language: Английский

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Relaxation analysis and entropy simulation of triple diffusive slip effect on magnetically driven Casson fluid flow

International Journal of Modelling and Simulation, Journal Year: 2024, Volume and Issue: unknown, P. 1 - 18

Published: Jan. 5, 2024

In this article, we explore a novel numerical solution of triple diffusive flow Casson fluid taking slip boundary condition on stretching sheet along with suction and magnetic field effects. Total entropy generation in viscous under coupling effects concentrations two heterogeneous salts (NaClandC12H22O11) is evaluated by different Bejan numbers. Magnetic number mass have been defined for the estimation irreversibilities due to salts' retardation over non-linearly sheet. Order reduction then finite difference techniques are employed system equations thus obtained. Persuasive iterative scheme, successive relaxation method, encoded via MATLAB has utilized numerically simulate discretised ordinary differential equations. Significant impacts prime parameters rate numbers physically interpreted through graphs both linear as well non-linear cases. force tends decrease while enhances considerably. Entropy diffusion higher than double diffusion. Outcomes may be useful automobiles industries, waste-water treatment, petroleum food processing mills mechanical systems controlled conditions.

Language: Английский

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Study of MHD on Porous Flat and Curved Circular Plate Lubricated with Couple Stress Fluid-A Slip Velocity Model

Results in Engineering, Journal Year: 2024, Volume and Issue: unknown, P. 102914 - 102914

Published: Sept. 1, 2024

Language: Английский

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