Influence of viscous dissipation and double stratification on MHD Oldroyd-B fluid over a stretching sheet with uniform heat source

Kalyani, K.; Rao, N. Seshagiri; Makinde, Oluwole Daniel; Reddy, M. Gnaneswara; Sudharani, M. V. V. N. L.

doi:10.1007/s42452-019-0339-1

Cited by 7 publications

(5 citation statements)

References 34 publications

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“…The impact of frictional heat and Lorentz force on Newtonian fluid across a shrinking surface was reported by Kumar et al [13]. Recently, Kumar et al [14] and Kalyani et al [15] discussed the flow and heat transfer characteristics of non-Newtonian fluid over a stretching surface in the presence of heat source.…”

Section: Introductionmentioning

confidence: 93%

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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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Section: Introductionmentioning

confidence: 93%

“…The heat flux J w can be taken as Using Eqs. (15) and (16) in 14, we get the required expressions for C f and Nu is…”

Section: Formation Of the Modelmentioning

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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“…Soret and Dufour effects on magneto hydrodynamic Oldroyd-B fluid across a cone/wedge were analyzed by Reddy [28] using Matlab. In the recent past, the influences of Cattaneo-Christov, thermal radiation, heat source on boundary layer flow and heat transfer were widely examined in many articles [29][30][31][32][33][34][35][36][37][38][39][40]. Many investigators concentrate on analyzing the transformation of heat and mass transfer in MHD flows.…”

Section: Kalyani Et Almentioning

confidence: 99%

A Numerical Study on Cross Diffusion Cattaneo-Christov Impacts of MHD Micropolar Fluid Across a Paraboloid

Kalyani

Rao

M.V.V.N.L.

2021

eijs

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Analyzing the impacts of Cattaneo-Christov flux, bioconvective Raleigh number and cross diffusion effects in electrically conducting micropolar fluid through a paraboloid revolution is assessed in this work. Non-dimensional equations are solved numerically using shooting technique with an aid of Matlab software. The impact of various parameters on velocity, temperature and concentration are discussed in detail and presented graphically. Harman number and micro rotation parameters are found and have an increasing influence on shear stress. The vertical velocity increases at free stream and the horizontal velocity increases near the surface when Grb increases, which follows the opposite trend for accumulation of Rb. The numerical results are compared with the available data indicating good agreement in a limiting case.

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“…The influences of updraft stratification on Maxwell radiative fluid flow and the hybrid convective movement of Oldroyd-B fluid were investigated by the authors. [7][8][9] They found that the radiative heat significantly enlarges the thermic heat of the fluid. The Brownian moment and thermophoretic reactions on a 3D-radiative nanoliquid stream above a two-way elongating sheet controlled by resistive heat with and without magnetic domain are explained by the authors.…”

Section: Introductionmentioning

confidence: 99%

Effect of resistive and radiative heats on enhanced heat transfer of parabolic trough solar collector

Nabwey

Reddy

Kumar

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part E:

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The total amount of existing solar energy on earth is more than the World's current and estimated energy requirements. The radiative heat from the sun is capable of producing electricity. This study deals with hydrogen energy storage by growing the heat transmission enactment of PTSC (Parabolic Trough Solar Collector) in the presence of thermic heat, resistive heat, buoyancy, magnetic field, and uneven heat sink/source. The Oldroyd-B and Maxwell fluids are the shear-thinning fluids with rheological differences. This study investigates the best heat transfer performer among these two, which helps to enhance the heat transfer in PTSC. A mathematical model was established and resolved numerically to examine this. The study outcomes are deliberated with the assistance of pictorial and numerical evaluations. Thermal radiation with Oldroyd-B fluid combination helps to enhance the heat transmission rate of PTSC to another level.

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Influence of viscous dissipation and double stratification on MHD Oldroyd-B fluid over a stretching sheet with uniform heat source

Cited by 7 publications

References 34 publications

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

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

A Numerical Study on Cross Diffusion Cattaneo-Christov Impacts of MHD Micropolar Fluid Across a Paraboloid

Effect of resistive and radiative heats on enhanced heat transfer of parabolic trough solar collector

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