Combined effect of viscous dissipation and Joule heating on MHD flow past a Riga plate with Cattaneo–Christov heat flux

Shamshuddin, Md.; Narayana, P. V. Satya

doi:10.1007/s12648-019-01576-7

Cited by 41 publications

(14 citation statements)

References 30 publications

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“…The study concluded that the concentration of chemical reaction rises with a growing diffusion ratio parameter. Shamshuddin and Satya Narayana 5 studied the effects of non‐Fourier heat flux on the dynamics of squeezing flow past a Riga plate. They solved the system of equations by shooting method and concluded that the local heat transfer coefficient upsurges with increasing Eckert number.…”

Section: Introductionmentioning

confidence: 99%

Buoyancy forces and activation energy on the MHD radiative flow over an exponentially stretching sheet with second‐order slip

et al. 2020

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The current study explores the effects of second-order slip and activation energy (AE) on the magnetohydrodynamic and radiative fluid flow caused by a surface with exponential stretching. The binary chemical reaction with mixed convection is considered in this physical model to discover the heat transfer phenomenon. The governing system of equations leads to a set of nonlinear ordinary differential equations by using scaling analysis. The transformed system is calculated computationally by using the most powerful Shooting procedure with the support of MATLAB software. The characteristics of various flow parameters on the governing flow field are exhibited pictorially and deliberated. The results revealed that the coefficient of heat and mass transfer upsurge with growing values of the second-order slip parameter and skin friction coefficient has a reverse effect on the first-order slip parameter. The thermal measure of the fluid in the presence of suction and slip conditions is seen to be lesser than that with the nonslip and nonsuction conditions. The heat measure of the fluid augments with the rising buoyancy parameter. The influence of slips coupled with AE is significant in the fluid flow and heat transfer characteristics. The outputs of the current investigation are validated by comparing the Nusselt number with the available results and are found to closely agree as a limiting case.

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Section: Introductionmentioning

confidence: 99%

Buoyancy forces and activation energy on the MHD radiative flow over an exponentially stretching sheet with second‐order slip

et al. 2020

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“…Using Buongiorno's model, 22,23 the governing equations can be written as…”

Section: Formulation Of the Problemmentioning

confidence: 99%

The effect of Joule heating and viscous dissipation on the boundary layer flow of a magnetohydrodynamics micropolar‐nanofluid over a stretching vertical Riga plate

et al. 2021

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Joule heating and viscous dissipation effects on the behavior of the boundary layer flow of a micropolar nanofluid over a stretching vertical Riga plate (electro magnetize plate) are considered. The flow is disturbed by an external electric magnetic field. The problem is formulated mathematically by nonlinear system of partial differential equations (PDEs). By using suitable variables transformations, this system is transformed onto a system of nonlinear ordinary differential equations (ODEs). The Parametric NDsolve package of the commercial software Mathematica is used to solve the obtained ODEs as well as the considered numerical results for different physical parameters with appropriate boundary conditions. Novel results are obtained by studying the stream lines flow around the plate in two and three dimensions. Moreover, the effects of the pertinent parameters on the skin friction coefficient, couple stress, local Nusselt, and Sherwood number are discussed. Special cases of the obtained results show excellent agreements with previous works. The results showed that as the magnetic field parameter increases the velocity of the boundary layer adjacent to the stretching sheet decreases. Also, for a productive chemical reaction near the sheet surface, the angular velocity decreases but opposite trend is observed far from the sheet surface. The importance of this study comes from its significant applications in many scientific fields, such as nuclear reactors, industry, medicine, and geophysics.

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“…The targetted purpose was the systematic improvement of the biomechanical smart lubrication. Furthermore, Heat flux of non-Fourier type has been characterized by Shamshuddin and Satya Narayana [36] with the relaxation of thermal behavior in the squeezing MHD flow. To mathematically inspect the squeeze films that are affected by magnetic force, the extensively used methodologies are mainly MHD viscous type.…”

Section: Introductionmentioning

confidence: 99%

EMHD radiating fluid flow along a vertical Riga plate with suction in a rotating system

et al. 2021

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This study is performed on the numerical investigation of electro-magnetohydrodynamic (EMHD) radiating fluid flow nature along an infinitely long vertical Riga plate with suction in a rotating system. The prevailing equations are generated from the Navier–Stokes’ and energy equations. A uniform suction velocity is introduced to control the flow. The prevailing boundary layer (BL) equations are the stuff to delineate the mechanical features of the flowing nature along with the electromagnetic device (Riga plate). Accordingly, the use of usual transformations on the equations transformed those into a coupled dimensionless system of non-linear partial differential equations (PDEs). After conversion, the elucidation of the set of equations is conducted numerically by an explicit finite difference method (FDM). The criteria for stable and converging solutions are constructed to find restrictions on various non-dimensional parameters. The retrieved restrictions are $$P_{r} \ge 0.19,\,$$ P r ≥ 0.19 , $$R_{d} \ge 0.1,\,\,$$ R d ≥ 0.1 , $$S \ge 1,$$ S ≥ 1 , $$E_{c} = 0.01\,\,$$ E c = 0.01 and $$0 < R \le 0.1$$ 0 < R ≤ 0.1 . Furthermore, sensitivity tests on mesh and time as well as comparison within the literature have been demonstrated in graphical and tabular form. Finally, the important findings of the non-dimensional parameters influences have been portrayed in graphical manner by using the MATLAB R2015a tool. A substantial uprise is noted for both the velocities (secondary and primary) under the rising actions of the modified Hartmann number, whereas the suction parameter suppresses both the velocities.

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Combined effect of viscous dissipation and Joule heating on MHD flow past a Riga plate with Cattaneo–Christov heat flux

Cited by 41 publications

References 30 publications

Buoyancy forces and activation energy on the MHD radiative flow over an exponentially stretching sheet with second‐order slip

Buoyancy forces and activation energy on the MHD radiative flow over an exponentially stretching sheet with second‐order slip

The effect of Joule heating and viscous dissipation on the boundary layer flow of a magnetohydrodynamics micropolar‐nanofluid over a stretching vertical Riga plate

EMHD radiating fluid flow along a vertical Riga plate with suction in a rotating system

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