Impact of entropy generation and temperature gradient heat source on Couette flow in a permeable magnetic field

Varma, Nadimpalli Udaya Bhaskara; Ramaprasad, Jupudi Lakshmi; Balamurugan, Kuppareddy Subramanyam

doi:10.1002/htj.23050

Heat Trans

2024

DOI: 10.1002/htj.23050

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Impact of entropy generation and temperature gradient heat source on Couette flow in a permeable magnetic field

Nadimpalli Udaya Bhaskara Varma,

Jupudi Lakshmi Ramaprasad,

Kuppareddy Subramanyam Balamurugan

Abstract: This research paper focused on investigating the influence of various factors on steady Couette flow beneath a permeable bed. Factors studied included aligned magnetic field, thermal radiation, temperature gradient heat source, viscous dissipation, and Joules dissipation. The momentum and energy equations governing flow and heat transmission were analytically solved to predict the generation of entropy. The findings were visually presented through graphical representations, which effectively demonstrated the e… Show more

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2024

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Cited by 4 publications

References 27 publications

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Temperature‐dependent viscosity effects on heat transfer characteristics of grade three fluid in electromagnetohydrodynamic flow between large parallel plates maintained at uniform temperatures

Mohanty,

Mishra,

Chaudhuri

2024

Heat Trans

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Heat transfer characteristics in the electromagnetohydrodynamic flow of a third‐grade fluid between parallel plates have already been examined by researchers, but studies on the effect of temperature‐dependent viscosity on velocity, temperature, and heat transfer coefficients are very few. The present study investigates the heat transfer behavior of a third‐grade fluid flow between large parallel plates, taking temperature‐dependent viscosity when magnetic and electric fields are imposed externally. The plate walls are subjected to uniform temperatures. Consideration of temperature‐dependent viscosity results in the formulation of the phenomenon by nonlinear, coupled differential equations, which are solved by applying the least‐square method (LSM). Solving coupled, nonlinear equations by the LSM requires a great deal of modification in the implementation process. The obtained results in terms of dimensionless velocity are validated with the results of earlier studies and are also in a close match with the results of the Adomian decomposition method of the current study. Results indicate that for a higher value of the viscosity parameter, at first, velocity increases with an increase in the non‐Newtonian parameter. Beyond a certain value of the non‐Newtonian parameter, velocity starts reducing. Temperature, at all points of any cross‐section, increases up to a certain non‐Newtonian parameter and then reduces with the rise in the same parameter. For higher values of the viscosity parameter and low non‐Newtonian parameters, the upper plate requires an enhanced rate of cooling. Whereas, for higher values of the non‐Newtonian parameter at higher viscosity parameters, a lower heating rate is required. The results of the mathematical model can serve to be useful in the field of liquid metal flows in metallurgical industry, micropumps, medical and biological sectors, and microelectromechanical applications.

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Temperature‐dependent viscosity effects on heat transfer characteristics of grade three fluid in electromagnetohydrodynamic flow between large parallel plates maintained at uniform temperatures

Mohanty,

Mishra,

Chaudhuri

2024

Heat Trans

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Couette flow of viscoelastic dusty fluid through a porous oscillating plate in a rotating frame along with heat transfer

Ali,

Ahmad,

Ali

et al. 2024

Heat Trans

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Usually, suction/blowing is used to control the channel's fluid flow, which is why this worth‐noting effect is considered. The fluid velocity is considered along the x‐axis due to the oscillations of the right plate. The thermal effect on the flow due to the heated right plate is also considered. The fluid and dust particles have complex velocities due to the rotation, which are the sum of primary and secondary velocities. To convert the aforementioned physical phenomenon into mathematical form, partial differential equations are used for modeling the subject flow regime. Appropriate nondimensional variables are employed to nondimensionalize the system of governing equations. With the assistance of assumed periodic solutions, the system of partial differential equations is reduced to a system of ordinary differential equations which is then solved by the perturb solution utilizing Poincare–Lighthill perturbation techniques. The engineering interest quantities, the Nusselt number, and skin friction are also determined. The impact of various parameters on skin friction, viscoelastic fluid, and dust particle velocity profiles is also investigated. It is worth mentioning that suction controls the boundary layer to grow unexpectedly, even in the resonance case. The obtained solution is also valid in the case of injection. The radiation parameter, Grashof number, and second‐grade parameter cause a decrease in skin friction as their values increase. On the other hand, the suction, rotation, magnetic, dusty fluid, and Reynolds numbers cause a rise in skin friction.

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A review on magnetic permeability in heat and fluid flow characteristics: Applications in magnetized shielding

Nabwey,

Ashraf,

Rashad

et al. 2024

AIP Advances

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Magnetic permeability as a material property has a significant impact on the characteristics of a heated surface where induction heating or magneto-thermal systems are involved. In the heat and fluid flow mechanism where heat induction is used, magnetic permeability has a significant and crucial impact. Materials-like ferromagnetic materials with high magnetic permeability enhance the eddy current formation and can concentrate the magnetic field during the processes. These eddy currents lead to Joule heating in terms of electric current induced within the conductor by a changing magnetic field. Magnetic permeability also impacts the temperature profile within the material. Materials with extraordinary permeability due to the concentration of magnetic field can cause localized heating. The variable material properties in the presence of localized heating lead to non-uniform temperature distribution throughout the medium. In the magnetohydrodynamics heat and fluid flow region in the presence of magnetic permeability, some materials perform magnetostrictive impacts; therefore, they change shape or size under the influence of a magnetic field. The role of magnetic permeability along the heated surface is multifaceted in the system where an electromagnetic field is involved and affects how heat is generated, distributed, and dissipated. It is pertinent to mention that in the system where the electromagnetic field is involved, the magnetic permeability directly impacts the efficiency and uniform heating. Therefore, the understanding and controlling of magnetic permeability is important to design the systems that rely on exact thermal management, such as in magnetic shielding, magneto-thermal devices, and induction heating.

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Impact of entropy generation and temperature gradient heat source on Couette flow in a permeable magnetic field

Cited by 4 publications

References 27 publications

Temperature‐dependent viscosity effects on heat transfer characteristics of grade three fluid in electromagnetohydrodynamic flow between large parallel plates maintained at uniform temperatures

Temperature‐dependent viscosity effects on heat transfer characteristics of grade three fluid in electromagnetohydrodynamic flow between large parallel plates maintained at uniform temperatures

Couette flow of viscoelastic dusty fluid through a porous oscillating plate in a rotating frame along with heat transfer

A review on magnetic permeability in heat and fluid flow characteristics: Applications in magnetized shielding

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