Influence of Joule Heating and Heat Source on Radiative MHD Flow over a Stretching Porous Sheet with Power-Law Heat Flux

Ibrahim, S. Mohammed; Kumar, P. Vijaya; Lorenzini, Giulio; Lorenzini, Enrico

doi:10.1134/s1810232819030044

Cited by 14 publications

(7 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Using Laplace's integral transformation by time t, solutions of the Cauchy problems ( 12), ( 13) are written down as resultants of the functions describing the specified boundary conditions on the functions H y (z, t), T(z, t) and homogeneous solutions of the equation systems (12), (13). As a result, after transformations, we obtain expressions of the component H y (z, t):…”

Section: Methodology Of Solving the Formulated Initial-boundary Problemsmentioning

confidence: 99%

“…Authors also studied the resonance characteristics analytically using the Galerkin approximations model with one degree of freedom reduced to the Mathieu-Duffin equation. The research results of Joule's heating process in magnetofluid dynamics problems are described in [12][13][14]. In particular, in [12] a homotopic analysis method is applied to solve ordinary differential equations arising in the mathematical model with magnetofluid dynamics flow over a porous stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

“…The research results of Joule's heating process in magnetofluid dynamics problems are described in [12][13][14]. In particular, in [12] a homotopic analysis method is applied to solve ordinary differential equations arising in the mathematical model with magnetofluid dynamics flow over a porous stretching sheet. Buongiorno's model is used to study the adjoint influence of Joule's heating and magnetofluid dynamics on nanofluid heat convection in [13].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Determination and Analysis of Joule’s Heat and Temperature in an Electrically Conductive Plate Element Subject to Short-Term Induction Heating by a Non-Stationary Electromagnetic Field

et al. 2022

View full text Add to dashboard Cite

We propose a mathematical model that allows us to determine the temperature field of a parallel-sided electrically conductive plate element subject to uniform non-stationary electromagnetic action. We formulate initial-boundary value problems to determine the parameters of the non-stationary electromagnetic field (NEMF) and the temperature. We develop a methodology to solve these initial-boundary value problems using the approximation of determining functions by cubic polynomials over thickness of the plate element. General solutions for the related Cauchy problems at uniform non-stationary electromagnetic action are obtained. Based on these solutions, the temporal variation of Joule’s heat and temperature in the plate element, subject to short-term induction heating by an NEMF in the mode of impulse modulating signal (MIMS), is analyzed. Temperature dependencies on the different values of electromagnetic field stress and on the different time duration were obtained. The choice of the carrier frequency of electromagnetic field oscillations is explained for the frequencies mostly used in industrial devices for inductive heating.

show abstract

Section: Methodology Of Solving the Formulated Initial-boundary Problemsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Determination and Analysis of Joule’s Heat and Temperature in an Electrically Conductive Plate Element Subject to Short-Term Induction Heating by a Non-Stationary Electromagnetic Field

et al. 2022

View full text Add to dashboard Cite

show abstract

“…Chaudhary et al [9] presented a computational modeling of partial slip effects on hydromagnetic boundary layer flow past an exponential stretching surface in presence of thermal radiation. Ιbrahim et al [10] investigated the influence of Joule heating and heat source on radiative MHD flow over a stretching porous sheet with power-law heat flux. The effects of thermal radiation and Joule heating on magnetohydrodynamic Marangoni convection over a flat surface analyzed by Khaled [11].…”

Section: Introductionmentioning

confidence: 99%

Thermal radiation and magnetohydrodynamics flow over a black isothermal plate

Raptis

2022

THERM SCI

View full text Add to dashboard Cite

show abstract

“…Petrovic et al 9 studied MHD flow and heat transfer for two immiscible fluids in a porous medium. Ibrahim et al 10 discussed the effects of a heat source and Joule heating on MHD radiative flow over a porous stretching sheet. Entropy generation for compressible radiative MHD fluid flow in a channel partially filled with porous material was reported by Jain et al 11 .…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD natural convection flow of Casson fluid incorporating thermal radiative flux and heat injection/suction mechanism under variable wall conditions

Anwar

Kumam

Watthayu

2021

Sci Rep

View full text Add to dashboard Cite

Unsteady magnetohydrodynamic flow of Casson fluid over an infinite vertical plate is examined under ramped temperature and velocity conditions at the wall. Thermal radiation flux and heat injection/suction terms are also incorporated in the energy equation. The electrically conducting fluid is flowing through a porous material and these phenomena are governed by partial differential equations. After employing some adequate dimensionless variables, the solutions are evaluated by dint of Laplace transform. In addition, the physical contribution of substantial parameters such as Grashof number, radiation parameter, heat injection/suction parameter, porosity parameter, Prandtl number, and magnetic parameter is appropriately elucidated with the aid of graphical and tabular illustrations. The expressions for skin friction and Nusselt number are also derived to observe wall shear stress and rate of heat transfer. A graphical comparison between solutions corresponding to ramped and constant conditions at the wall is also provided. It is observed that graphs of the solutions computed under constant conditions are always superior with respect to graphs of ramped conditions. The magnetic field decelerates the flow, whereas the radiative flux leads to an upsurge in the flow. Furthermore, the shear stress is a decreasing function of the magnetic parameter.

show abstract

Influence of Joule Heating and Heat Source on Radiative MHD Flow over a Stretching Porous Sheet with Power-Law Heat Flux

Cited by 14 publications

References 27 publications

Determination and Analysis of Joule’s Heat and Temperature in an Electrically Conductive Plate Element Subject to Short-Term Induction Heating by a Non-Stationary Electromagnetic Field

Determination and Analysis of Joule’s Heat and Temperature in an Electrically Conductive Plate Element Subject to Short-Term Induction Heating by a Non-Stationary Electromagnetic Field

Thermal radiation and magnetohydrodynamics flow over a black isothermal plate

Unsteady MHD natural convection flow of Casson fluid incorporating thermal radiative flux and heat injection/suction mechanism under variable wall conditions

Contact Info

Product

Resources

About