MHD Flow of Chemically Reacting Williamson Fluid Over a Curved/Flat Surface With Variable Heat Source/Sink

Kumar, K. Anantha; Reddy, J. V. Ramana; Sugunamma, V.; Sandeep, N.

doi:10.1615/interjfluidmechres.2018025940

Cited by 63 publications

(22 citation statements)

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“…Mehmood et al 16 addressed the heat and mass transport behaviour of non-Newtonian liquids using variable heat generation/absorption. The features of mass transfer on a non-Newtonian fluid over a stretching sheet under the impact of irregular heat parameters were reported Anantha Kumar et al [17][18][19] and they concluded that the heat transfer performance can be controlled by variable heat source/sink parameters.…”

Section: Introductionmentioning

confidence: 99%

A non‐Fourier heat flux model for magnetohydrodynamic micropolar liquid flow across a coagulated sheet

Kumar

Sugunamma

Sandeep

2019

Heat Trans. Asian Res.

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In this analysis, a heat transfer extrusion system was made by using a modified heat flux model, namely, the Cattaneo‐Christov heat flux. In the present study, we examined the effect of Arrhenius activation energy on magnetohydrodynamic mixed convection stagnation point flow of a micropolar fluid over a variable thickened surface in the attendance of Brownian motion. The fluid motion is assumed to be steady and laminar. The combined influence of heat and mass transfer aspects are scrutinized. First, suitable transformations are considered to modify the governing partial differential equations as ordinary differential equations and revealed by the consecutive application of numerical procedures like shooting and Runge‐Kutta‐Fehlberg. Graphs are delineated to scrutinize the effects of sundry dimensionless parameters on the flow fields. We found that, the present results made a good agreement with the existing results. We observed that there is an enhancement in the fields of concentration with thermophoresis and activation energy parameters but an opposite trend is noticed for the Brownian motion parameter. Also, it is interesting to note that the buoyancy and the primary slip parameters are increasing functions of velocity fields.

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Section: Introductionmentioning

confidence: 99%

A non‐Fourier heat flux model for magnetohydrodynamic micropolar liquid flow across a coagulated sheet

Kumar

Sugunamma

Sandeep

2019

Heat Trans. Asian Res.

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“…The impact of Brownian motion and thermophoresis on bioconvective flow of nanoliquids has been examined by Kumar et al [30]. The other related studies of Kumar et al can be seen in [31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Entropy Generation in MHD Radiative Flow of CNTs Casson Nanofluid in Rotating Channels with Heat Source/Sink

Kumam

Shah

Dawar

et al. 2019

Mathematical Problems in Engineering

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We presented the applications of entropy generation for SWCNTs and MWCNTs based on kerosene oil for Casson nanofluid flow by rotating channels. Kerosene oil has advanced thermal conductivity and exclusive features and has a lot of practical uses due to its unique behavior. That is why we have used kerosene oil as a based fluid. For the entropy generation second law of thermodynamics is applied and implemented for the nanofluid transport mechanism. In the presence of magnetic field, the effects of thermal radiations and heat source/sink on the temperature profiles are studied. The fluid flow is supposed in steady state. With the help of suitable similitude parameters, the leading equations have been transformed to a set of differential equations. The solution of the modeled problem has been carried out with the homotopic approach. The physical properties of carbon nanotubes are shown through tables. The effects of the imbedded physical parameters on the velocities, temperature, entropy generation rate, and Bejan number profiles are investigated and presented through graphs. Moreover, the impact of significant parameters on surface drag force and heat transfer rate is tabulated.

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“…Malik et al [4] inspected the impression of heat sink on Williamson liquid over a cylinder and conclude that non-Newtonian parameter has a propensity to reduce the velocity field. Recently, Kumar et al [5,6] presented dual solutions for MHD shear thinking liquid over a curved geometry.…”

Section: Introductionmentioning

confidence: 99%

MHD stagnation point flow of Williamson and Casson fluids past an extended cylinder: a new heat flux model

et al. 2019

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The impact of heat transfer in MHD flows along a stretching cylinder is playing a vital role for heat exchangers, fiber coating, transportation, etc. Currently, a lot of theoretical models are accessible for illustrating the thermal transfer impact of non-Newtonian liquid flows over a cylinder. Also, an external magnetic force is spot-on to deal with the physical features of the fluids to oversee the nature of thermal and momentum transfer in the system. Considering this fact, we inspect the heat transport behavior of two different non-Newtonian MHD flows due to stretching of a cylinder with heat generation, by taking the advantage of a new heat flux theory conceived by Christov-Cattaneo. The basic PDEs are converted into ODEs with the suitable similarity transformations. These ODEs are solved by fourth order Runge-Kutta based shooting system. Plots are drawn to discern the influence of sundry parameters on the flow fields (velocity and temperature). Along with them the rate of heat transfer and friction factor are bestowed in table. From the results, we notice that the influence of thermal stratification and curvature parameters have a propensity to increase both the velocity and thermal fields. Thermal relaxation parameter effectively lifts the friction factor in the flow of Williamson fluid than that of Casson fluid. Keywords MHD • Heat transfer • Non-Newtonian fluid • Convection • Thermal stratification • Cylinder List of symbols B 0 Applied magnetic field strength b Radius of the cylinder C f Friction factor Gr Grashof number J m Wall shear stress J w The measure of the heat transfer k Thermal conductivity l 0 Characteristic length M Magnetic field parameter m 1 , m 2 Constants Nu Nusselt number Pr Prandtl number p 0 & p ∞ Velocity components c p Specific heat Q l Component of heat source Q Heat source parameter S Thermal stratification parameter T Temperature of the fluid T 0 Component of temperature V r Velocity ratio parameter u, v Velocity components in x, y− directions u e Free stream velocity u w Stretching velocity of the cylinder Greek letters Thermal relaxation parameter Viscosity (kinematic) Electrical conductivity T Thermal expansion coefficient Relaxation time of heat flux Fluid's density Positive time constant Casson fluid parameter Williamson fluid parameter Stream function

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MHD Flow of Chemically Reacting Williamson Fluid Over a Curved/Flat Surface With Variable Heat Source/Sink

Cited by 63 publications

References 0 publications

A non‐Fourier heat flux model for magnetohydrodynamic micropolar liquid flow across a coagulated sheet

A non‐Fourier heat flux model for magnetohydrodynamic micropolar liquid flow across a coagulated sheet

Entropy Generation in MHD Radiative Flow of CNTs Casson Nanofluid in Rotating Channels with Heat Source/Sink

MHD stagnation point flow of Williamson and Casson fluids past an extended cylinder: a new heat flux model

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