Unsteady three dimensional flow of Casson liquid film over a porous stretching sheet in the presence of uniform transverse magnetic field and suction/injection

Maity, S.; Singh, Shubham; Kumar, Alagarsamy Vanav

doi:10.1016/j.jmmm.2016.06.004

Cited by 36 publications

(13 citation statements)

References 37 publications

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“…In this study, authors found that application of magnetic field decreases the speeds of both blood and magnetic particles. Maity et al 34 reported on an unsteady 3D movement using a singular perturbation technique with suction. Kumaran and Sandeep 35 reported MHD Casson and Williamson nanofluids toward a greater parabolic of revolution employing the RK‐based shooting method.…”

Section: Introductionmentioning

confidence: 99%

Generalized differential quadrature analysis of unsteady three‐dimensional MHD radiating dissipative Casson fluid conveying tiny particles

Thumma¹,

2020

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It is worth remarking that little is known about generalized differential quadrature analysis of three‐dimensional flow of non‐Newtonian Casson fluid in the presence of Lorentz force, thermal radiation, haphazard motion of tiny particles, thermomigration of these tiny particles due to temperature gradient, heat source, significant conversion of kinetic energy into internal energy, first‐order chemical reaction, convectively heated horizontal wall, and zero nanoparticles mass flux at the stretching surface. The revised form of Buongiorno's nanofluid model accounted for significant influences of Brownian motion and thermophoresis. The similarity solution was complemented with a powerful collocation procedure based on the generalized differential quadrature method and Newton–Raphson iterative scheme to achieve accuracy and convergent outcomes. The numerical effects disclose that the Casson nanofluid parameter slows down the axial velocities in both directions. Also, the unsteadiness parameter tends to decline generally the temperature throughout the medium and decrease particularly the concentration profile away from the stretching surface. These examinations are applicable in the field of biomechanics, polymer processing, and for characterizing the cement slurries.

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Section: Introductionmentioning

confidence: 99%

Generalized differential quadrature analysis of unsteady three‐dimensional MHD radiating dissipative Casson fluid conveying tiny particles

Thumma¹,

2020

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“…(27) and (28) into Eqs. (25) and (26) and after some mathematical manipulations, based on powers of p terms, it will be obtained that:…”

Section: Analytical Solutionmentioning

confidence: 99%

“…In addition, suction, and injection could be utilized for the regulation of skin friction and heat transfer over solid surfaces [21][22][23][24]. 3D flow of thin Casson liquid film with considering the transverse magnetic field and suction or injection over a porous bi-directional stretching sheet carried out by Maity et al [25]. They suggested that the film thinning is more severe for Casson fluid in comparison to a Newtonian one.…”

Section: Introductionmentioning

confidence: 99%

Flow and convective heat transfer of Casson fluid between squeezing porous disks in the presence of thermal radiation, viscous dissipation, and variable heat source/sink

Ahmadpour

Nasiri

Khazayinejad

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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In the present study, the combined effect of non-uniform heat source/sink, suction/injection, thermal radiation, and viscous dissipation is investigated on the unsteady squeezing flow and heat transfer of non-Newtonian Casson fluids. By means of a suitable similarity transformation, the governing equations are converted to a set of non-linear ordinary differential equations which are solved analytically applying Homotopy perturbation method. In addition, convergence of the derived solution is examined by comparing the analytical solution with a corresponding numerical solution obtained by the fourthorder Runge-Kutta method. An excellent agreement is observed between the analytical and numerical results. The influences of relevant parameters on the velocity and temperature fields, skin friction coefficient, and local Nusselt number are demonstrated in details. The results reveal that temperature is an increasing function of the heat generation parameter. Furthermore, the velocity and temperature profiles grow with increase the suction parameter.

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“…Elbashbeshy and Basid [5] firstly analyzed the heat transport mechanism for fluid flow over an unsteady stretchable surface. This type of study has been carried out through references [6][7][8][9][10][11] under the various aspects of fluid flow characteristics. Hydromagnetic viscoelastic liquid flow driven by a bidirectionally moveable surface with heat transport characteristic in the expanse of boundary layer is numerically treated by Ahmad and Nazar [12] using Keller-Box method, and they concluded through this study that temperature rises for escalating amount of magnetic constraint.…”

Section: Introductionmentioning

confidence: 99%

Significances of prescribed heat sources on magneto Casson nanofluid flow due to unsteady bi-directionally stretchable surface in a porous medium

2020

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In this communication, bidirectional flow of Casson nanomaterial driven by an unsteady moveable surface in the region of boundary layer is analyzed. Moreover, the significances of porous space, magnetic field, prescribed surface temperature (PST), and prescribed surface heat flux are also incorporated. Furthermore, the aspects of Brownian motion and thermophoresis are also comprised through Buongiorno nanofluid model. Governing equations are firstly transformed into system of ordinary differential equations by using a suitable combination of variables, and then computational assessment is made through Keller-Box method. Graphical illustrations for temperature distribution, concentration distribution, local Nusselt number and local Sherwood number against escalating amounts of pertinent parameters are presented. It is observed that escalating amounts of unsteady parameter and temperature controlled indices reduce the temperature distribution, as well as the concentration distribution. It is also observed that increasing amounts of Casson parameter enhances the rate of heat transfer, and reduces the rate of mass transfer for PST case. Finally, a comparison benchmark for limited case has been presented to validate the present methodology. Keywords Casson nanofluid • Eckert number • Keller-Box method • MHD • Porous medium • Prescribed heat sources • Unsteady bi-directional stretching List of symbols a, b, c Stretching rates (s −1) B o Magnitude of magnetic force (kg s −2 A −1) C Concentration (kg m −3) c f Specific heat of liquid (m 2 s −2 K −1) c p Specific heat of nanomaterial (m 2 s −2 K −1) C ∞ Ambient concentration (kg m −3) C w Surface concentration (kg m −3) C fx , C fy Skin-friction coefficients (-) D B Brownian coefficient (m 2 s −1) D T Thermophoresis coefficient (m 2 s −1) Ec x , Ec y Eckert numbers (-) f , g Similarity functions for velocity (-) h j Step size for grids (m) j Suffix (-)

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Unsteady three dimensional flow of Casson liquid film over a porous stretching sheet in the presence of uniform transverse magnetic field and suction/injection

Cited by 36 publications

References 37 publications

Generalized differential quadrature analysis of unsteady three‐dimensional MHD radiating dissipative Casson fluid conveying tiny particles

Generalized differential quadrature analysis of unsteady three‐dimensional MHD radiating dissipative Casson fluid conveying tiny particles

Flow and convective heat transfer of Casson fluid between squeezing porous disks in the presence of thermal radiation, viscous dissipation, and variable heat source/sink

Significances of prescribed heat sources on magneto Casson nanofluid flow due to unsteady bi-directionally stretchable surface in a porous medium

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