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Internal Heat Source and Doubly Concentrated Newtonian Fluid Layer Dynamics Under Modulated Induced Magnetic Field
https://orcid.org/0000-0002-1130-8516
ABSTRACTRegarding the various issues and incidents pertaining to Rayleigh–Bénard 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–Bénard 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 (), delayed the transport process while and contribute to increase the heat and mass transport.
Internal Heat Source and Doubly Concentrated Newtonian Fluid Layer Dynamics Under Modulated Induced Magnetic Field
https://orcid.org/0000-0002-1130-8516
ABSTRACTRegarding the various issues and incidents pertaining to Rayleigh–Bénard 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–Bénard 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 (), delayed the transport process while and contribute to increase the heat and mass transport.
Internal Heat Source and Doubly Concentrated Newtonian Fluid Layer Dynamics Under Modulated Induced Magnetic Field
https://orcid.org/0000-0002-1130-8516
ABSTRACTRegarding the various issues and incidents pertaining to Rayleigh–Bénard 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–Bénard 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 (), delayed the transport process while and contribute to increase the heat and mass transport.
Internal Heat Source and Doubly Concentrated Newtonian Fluid Layer Dynamics Under Modulated Induced Magnetic Field
Heat Trans
Singh, Pervinder (author) / Chadha, Naresh M. (author) / Gupta, Vinod K. (author)
2025-02-11
Article (Journal)
Electronic Resource
English
Heat Transfer in Hydromagnetic Couette Flow of Compressible Newtonian Fluid
| Online Contents | 1995