Unsteady natural convection flow of a rotating fluid past an exponential accelerated vertical plate with Hall current, ion-slip and magnetic effect

Singh, Jitendra Kumar; Srinivasa, C. T.

doi:10.1108/mmms-06-2017-0045

Cited by 34 publications

(27 citation statements)

References 20 publications

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“…Veera Krishna and Subba Reddy [13] investigated the transient MHD flow of a reactive second-grade fluid through a porous medium between two infinitely long horizontal parallel plates. Jitendra and Srinivasa [14] investigated Hall and ion slip effects on the convective flow of a rotating fluid. Dileep and Priyanka [15] discussed the Hall effects on MHD viscous electrically conducting fluid flow and heat transfer in a parallel plate channel partially filled with a porous medium with an inclined magnetic field in a rotating system.…”

Section: Introductionmentioning

confidence: 99%

Hall and ion slip effects on Unsteady MHD Convective Rotating flow of Nanofluids—Application in Biomedical Engineering

2020

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There is an intense worldwide activity in the development of instrumentation for medical diagnosis and bioscreening based on biological labeling and detection of nanoparticles. Based on this profound observation, Hall and ion slip effects on magnetohydrodynamic (MHD) free convective rotating flow of nanofluids in a porous medium past a moving vertical semi-infinite flat plate are investigated. The equations for governing flow are solved analytically by perturbation approximation. The effects of various parameters on the flow are discussed through graphs and tables. The velocity increases with Hall and ion slip parameters. An increase in the convective parameter led to amplify the thermal boundary layer thickness, but when the heat generation parameter is taken into consideration, an opposite effect occurs. The skin friction coefficient increases with an increase in nanoparticle volume fraction and it reduces with increase in Hall and ion slip parameters. Outcomes disclose that the impact of thermal convection of nanoparticles has increased the temperature distribution, which helps in destroying the cancer cells during the drug delivery process.

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Section: Introductionmentioning

confidence: 99%

Hall and ion slip effects on Unsteady MHD Convective Rotating flow of Nanofluids—Application in Biomedical Engineering

2020

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“…For a mathematical verification of our analytical results with the published results in a limiting case, we are citing some special cases: The closed form solutions of the modelled problem proposed by Mahanthesh et al (2016) are recovered by letting 1γ→0 (Newtonian fluid) in the present model. Analytical results of the published work by Kataria and Patel (2016) are reduced to the exact solutions of our modelled problem by ignoring the influnces of thermal diffusion and porous medium. Solutions of our problem will be reclaimed from the modelled problem studied by Seth et al (2011) by neglecting porous matrixes. Expressions given by equations (23)-(25) are identical with the expressions given by equations (26)-(28) of the problem studied by Singh and Srinivasa (2018) in absence of Hall and ion-slip currents with the rigid frame of reference, slight changing notations. …”

Section: Validation Of Resultsmentioning

confidence: 97%

“…They obtained an exact solution for flow characteristics considering both the constant and ramped plate heating and fluctuating concentration in the absence of ion-slip current. Later, Singh and Srinivasa (2018) obtained an exact solution of an unsteady MHD natural convection flow of a rotating fluid past an exponential accelerated vertical plate with Hall current and ion - slip by using an analytical method called the Laplace transform technique. They obtained an exact solution for flow quantities considering both the isothermal and ramped plate heating and fluctuating concentration in the presence of ion-slip current.…”

Section: Introductionmentioning

confidence: 99%

Delineating impacts of non-uniform wall temperature and concentration on time-dependent radiation-convection of Casson fluid under magnetic field and chemical reaction

Das

Banu

Jana

2021

WJE

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Purpose In various kinds of materials processes, heat and mass transfer control in nuclear phenomena, constructing buildings, turbines and electronic circuits, etc., there are numerous problems that cannot be enlightened by uniform wall temperature. To explore such physical phenomena researchers incorporate non-uniform or ramped temperature conditions at the boundary, the purpose of this paper is to achieve the closed-form solution of a time-dependent magnetohydrodynamic (MHD) boundary layer flow with heat and mass transfer of an electrically conducting non-Newtonian Casson fluid toward an infinite vertical plate subject to the ramped temperature and concentration (RTC). The consequences of chemical reaction in the mass equation and thermal radiation in the energy equation are encompassed in this analysis. The flow regime manifests with pertinent physical impacts of the magnetic field, thermal radiation, chemical reaction and heat generation/absorption. A first-order chemical reaction that is proportional to the concentration itself directly is assumed. The Rosseland approximation is adopted to describe the radiative heat flux in the energy equation. Design/methodology/approach The problem is formulated in terms of partial differential equations with the appropriate physical initial and boundary conditions. To make the governing equations dimensionless, some suitable non-dimensional variables are introduced. The resulting non-dimensional equations are solved analytically by applying the Laplace transform method. The mathematical expressions for skin friction, Nusselt number and Sherwood number are calculated and expressed in closed form. Impacts of various associated physical parameters on the pertinent flow quantities, namely, velocity, temperature and concentration profiles, skin friction, Nusselt number and Sherwood number, are demonstrated and analyzed via graphs and tables. Findings Graphical analysis reveals that the boundary layer flow and heat and mass transfer attributes are significantly varied for the embedded physical parameters in the case of constant temperature and concentration (CTC) as compared to RTC. It is worthy to note that the fluid velocity is high with CTC and lower for RTC. Also, the fluid velocity declines with the augmentation of the magnetic parameter. Moreover, growth in thermal radiation leads to a declination in the temperature profile. Practical implications The proposed model has relevance in numerous engineering and technical procedures including industries related to polymers, area of chemical productions, nuclear energy, electronics and aerodynamics. Encouraged by such applications, the present work is undertaken. Originality/value Literature review unveils that sundry studies have been carried out in the presence of uniform wall temperature. Few studies have been conducted by considering non-uniform or ramped wall temperature and concentration. The authors are focused on an analytical investigation of an unsteady MHD boundary layer flow with heat and mass transfer of non-Newtonian Casson fluid past a moving plate subject to the RTC at the plate. Based on the authors’ knowledge, the present study has, so far, not appeared in scientific communications. Obtained analytical solutions are verified by considering particular cases of the published works.

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“…Many experimental packages of strong magnetic fields require weighting each other with Hall and ion‐slip currents because they have an effect on the introduction of current density vectors and magnetic pressures. Hall and ion‐slip currents on magnetohydrodynamic (MHD) gyratory high temperature generating flow have been discussed by some authors 6‐14 . Veera Krishna et al 15‐19 discussed the important results of MHD flows on porous media in planar channels.…”

Section: Introductionmentioning

confidence: 99%

Hall and ion slip effects on MHD laminar flow of an elastico‐viscous (Walter's‐B) fluid

Krishna

2020

Heat Trans

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We investigated the magnetohydrodynamic (MHD) laminar flow of an elastico-viscous electrically conducting (Walter's-B) fluid through a circular cylinder or pipe, loosely packed with a porous material subjected to Hall and ion-slip effects. The innovation of the study is to consider the entire flow domain without boundary layer approximation in the governing equations. Fully developed solutions of the velocity and pressure drop are obtained making use of perturbation approximation and computationally discussed with reference to flow governing parameters. It is quite exciting that the elastic parameter almost reduces the speed of the liquid in the center of the channel and then continuously expands into the cylinder. For engineering interest, we found the analytical solution and then computationally discussed for skin friction. The occurrence of a magnetic field and a porous matrix gives a fairly uneven flow between the pipes. Elasticity and suction are resistant to experience greater skin friction and are therefore useful for controlling flow separation. A porch has been made to include studies of non-Newtonian fluids with Hall and ion-slip effects due to the vast number of possible engineering applications, like power generators, MHD accelerators, refrigeration coils, electric transformers, and heating elements. K E Y W O R D S circular cylinder, elastico-viscous fluids, Hall and ion-slip effects, laminar flow, MHD, porous medium ORCID M. Veera Krishna

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Unsteady natural convection flow of a rotating fluid past an exponential accelerated vertical plate with Hall current, ion-slip and magnetic effect

Cited by 34 publications

References 20 publications

Hall and ion slip effects on Unsteady MHD Convective Rotating flow of Nanofluids—Application in Biomedical Engineering

Hall and ion slip effects on Unsteady MHD Convective Rotating flow of Nanofluids—Application in Biomedical Engineering

Delineating impacts of non-uniform wall temperature and concentration on time-dependent radiation-convection of Casson fluid under magnetic field and chemical reaction

Hall and ion slip effects on MHD laminar flow of an elastico‐viscous (Walter's‐B) fluid

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