首页|Internal Heat Source and Doubly Concentrated Newtonian Fluid Layer Dynamics Under Modulated Induced Magnetic Field

Internal Heat Source and Doubly Concentrated Newtonian Fluid Layer Dynamics Under Modulated Induced Magnetic Field

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Regarding the various issues and incidents pertaining to Rayleigh-Benard convective system in industrial and technical domains, a great deal of important information and research has emerged. However, there are still certain physical phenomena that are not explored but have a significant impact on the Rayleigh-Benard convective system. One example of such a phenomenon is the simultaneous action of two concentrated solutes mixed with Newtonian fluid from opposite ends, with an external time-modulated magnetic field influenced by the internal heat source. The mathematical representation of the considered problem is based on the fundamental laws of fluid dynamics. This article attempts to shed some light on the impact of the internal Rayleigh number and the Chandrasekhar number on the convective system. To understand the impact of two concentrations with internal heat source and magnetic field modulation on the transport process, a weakly nonlinear theory and Fredholm's solvability condition are applied. A nonautonomous differential equation, known as the Ginzburg-Landau (GL) equation, is derived in terms of the amplitude of convection. An in-built function of the software MATHEMATICA is used to determine the solution of GL equation and to plot the graphs of dimensionless parameters vs transport phenomena. The Chandrasekhar number (Q), Le_1, Le_2 delayed the transport process while Ri and Pm contribute to increase the heat and mass transport.

Ginzburg-Landau equationinduced magnetic fieldLewis numbermagnetic modulationNewtonian liquidsolute Rayleigh numberthermal Rayleigh numbertriple-diffusive convection

Pervinder Singh、Naresh M. Chadha、Vinod K. Gupta

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Department of Mathematics, School of Physical Sciences, DIT University, Dehradun, India

2025

Heat Transfer

Heat Transfer

ISSN:1099-2871
年,卷(期):2025.54(4)
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