Heat and Mass Transfer Effects on MHD Natural Convection Flow Past an Impulsively Moving Vertical Plate with Ramped Temperature

Sheri, Siva Reddy; Chamkha, Ali J.; Suram, Anjan Kumar

doi:10.7726/ajhmt.2016.1009

Cited by 6 publications

(5 citation statements)

References 10 publications

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“…Rao et al [33] studied the effects of chemical reactions on the magnetohydrodynamic fluid flow over a flat vertical plate in a porous medium with heat absorption. Sheri et al [34] presented the heat and mass transfer analysis due to the ramped temperature of an impulsively moving vertical plate using the dimensionless finite element method. Shamshuddin et al [35] proposed a dimensionless finite element solution of the multiphysical micropolar transport phenomena from an inclined moving plate in a porous media.…”

Section: Literature Reviewmentioning

confidence: 99%

On the Use of Commercial Finite Element Packages for a Dimensionless Solution to a Class of Problems

Pashah

2023

Computational and Mathematical Methods

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Physical laws provide a mathematical description of a physical phenomenon. The mathematical description is generally in the form of differential equations with appropriate initial and boundary conditions, called initial boundary value problems. The dimensionless form of an initial boundary value problem is the first step for the solution to a class of problems. The approach is generally applied for closed-form (or analytical) solutions, whereas practical engineering problems can only be solved numerically. Commercial finite element packages are commonly used for the numerical solution of engineering problems with complexities caused by geometry, loading, and material properties. A numerical solution does not produce a formula; therefore, a completely new solution must be obtained even for minor changes in the data set. A single-dimensionless finite element analysis would solve a class of problems. Literature shows that user-developed finite element codes, not accessible for general use, are generally used for dimensionless finite element solutions. The availability of dimensionless analysis in a commercial finite element package would be very convenient. Commercial packages do not have built-in dimensionless formulations. However, all mainstream packages allow user-implemented formulation through different coding requirements. At least one researcher has used a commercial package for dimensionless analyses without coding. The work presents a guide on alternate implementation methods of dimensionless formulations in commercial packages. A sample case demonstrates the stepwise implementation of a dimensionless formulation without writing a customized finite element code.

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Section: Literature Reviewmentioning

confidence: 99%

On the Use of Commercial Finite Element Packages for a Dimensionless Solution to a Class of Problems

Pashah

2023

Computational and Mathematical Methods

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“…19 Jai 20 investigated the swot of a glutinous dissipation in addition to compound reaction consequences on gush through a broadening spongy facade in a leaky medium. Hall current and chemical reaction effects on free convective flow past an accelerated moving vertical plate with ramped temperature: FEM by Sheri et al 21 The Dufour consequence was freshly established to be in command of sizeable extent in order, this might not be ignored. 22 Postelnicu 23 examined the achievement of Soret as well as Dufour on heat along with accumulation transfer.…”

Section: Introductionmentioning

confidence: 99%

Hall and ion‐slip effects on MHD natural convective flow past an unbounded vertical porous channel with thermodiffusion

Rao

Gangadhar

2021

Heat Trans

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The consequences of Soret in addition to Dufour of natural convection heat and mass transfer for the unsteady three-dimensional boundary layer flow through a perpendicular condition of the existence of viscous dissipation, invariable suction, Hall as well as ion slip consequences into relation. The prevailing partial differential equation is dissolved digitally utilizing the implicit Crank-Nicolson finite difference method. The velocity, temperature, as well as concentration dispensations, is addressed computationally and demonstrated by the graphs. Numerical values of the Nusselt number, skin friction as well as Sherwoods numbers nearby the plate are discussed for a choice of values of substantial parameters and are displayed in a tabular manner. It is noticed that the temperature of the fluid diminishes with higher Prandtl numbers. The resulting velocity diminishes with the growing Hartmann number. Rotation, Soret, and Dufour parameters strengthen the velocity and momentum boundary layer thickness. The velocity intensifies through growing Hall and ion-slip parameters and the revoke trend is acquired with enhancement in suction parameter.

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“…Variable ramped temperature profiles appear in real world situation in building air conditioning systems, fabrication of thin-film photovoltaic devices, phase transition in processing of materials, turbine blade heat transfer, heat exchangers, etc. Sheri et al (2016) have discussed heat and mass transfer effects on MHD natural convection flow past an impulsively moving vertical plate with ramped temperature. Sheri et al (2015) have discussed transient approach to heat absorption and radiative heat transfer past an impulsively moving plate with ramped temperature.…”

Section: Introductionmentioning

confidence: 99%

Thermal-diffusion and diffusion-thermo effects on MHD natural convective flow through porous medium in a rotating system with ramped temperature

Sheri

Ali

Suram

2017

HFF

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Purpose The purpose of this paper is to analyze the thermal-diffusion and diffusion-thermo effects on magnetohydrodynamics (MHD) natural convective flow through porous medium in a rotating system with ramped temperature. Design/methodology/approach Using the non-dimensional variables, the flow governing equations along with corresponding initial and boundary conditions have been transformed into non-dimensional form. These non-dimensional partial differential equations are solved by using finite element method. This method is powerful and stable. It provides excellent convergence and flexibility in providing solutions. Findings The effects of Soret number, Dufour number, rotation parameter, magnetic parameter, Hall current parameter, permeability parameter, thermal Grashof number, solutal Grashof number, Prandtl number, thermal radiation parameter, heat absorption parameter, Schmidt number, chemical reaction parameter and time on the fluid velocities, temperature and concentration are represented graphically in a significant way and the influence of pertinent flow governing parameters on the skin frictions and Nusselt number are presented in tabular form. On the other hand, a comparison for validation of the numerical code with previously published work is performed, and an excellent agreement is observed for the limited case existing literature. Practical implications A very useful source of information for researchers on the subject of MHD flow through porous medium in a rotating system with ramped temperature. Originality/value The problem is moderately original, as it contains many effects like thermal-diffusion (Soret) and diffusion-thermo (Dufour) effects and chemical reaction.

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Heat and Mass Transfer Effects on MHD Natural Convection Flow Past an Impulsively Moving Vertical Plate with Ramped Temperature

Cited by 6 publications

References 10 publications

On the Use of Commercial Finite Element Packages for a Dimensionless Solution to a Class of Problems

On the Use of Commercial Finite Element Packages for a Dimensionless Solution to a Class of Problems

Hall and ion‐slip effects on MHD natural convective flow past an unbounded vertical porous channel with thermodiffusion

Thermal-diffusion and diffusion-thermo effects on MHD natural convective flow through porous medium in a rotating system with ramped temperature

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