The MHD Newtonian hybrid nanofluid flow and mass transfer analysis due to super-linear stretching sheet embedded in porous medium

Mahabaleshwar, U. S.; Anusha, T.; Hatami, M.

doi:10.1038/s41598-021-01902-2

Cited by 44 publications

(16 citation statements)

References 42 publications

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“…Based on the analytical solution derived in Crane [3], Aly [42], and Mahabaleshwar et al [43], for some special cases of stretching sheet problems, we assume the solutions of Equations ( 11) and ( 12) are of the form…”

Section: Analytical Solutions 21 Analytical Solution Of Momentum Equa...mentioning

confidence: 99%

An MHD Fluid Flow over a Porous Stretching/Shrinking Sheet with Slips and Mass Transpiration

2022

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In the present paper, an MHD three-dimensional non-Newtonian fluid flow over a porous stretching/shrinking sheet in the presence of mass transpiration and thermal radiation is examined. This problem mainly focusses on an analytical solution; graphene water is immersed in the flow of a fluid to enhance the thermal efficiency. The given non-linear PDEs are mapped into ODEs via suitable transformations, then the solution is obtained in terms of incomplete gamma function. The momentum equation is analyzed, and to derive the mass transpiration analytically, this mass transpiration is used in the heat transfer analysis and to find the analytical results with a Biot number. Physical significance parameters, including volume fraction, skin friction, mass transpiration, and thermal radiation, can be analyzed with the help of graphical representations. We indicate the unique solution at stretching sheet and multiple solution at shrinking sheet. The physical scenario can be understood with the help of different physical parameters, namely a Biot number, magnetic parameter, inverse Darcy number, Prandtl number, and thermal radiation; these physical parameters control the analytical results. Graphene nanoparticles are used to analyze the present study, and the value of the Prandtl number is fixed to 6.2. The graphical representations help to discuss the results of the present work. This problem is used in many industrial applications such as Polymer extrusion, paper production, metal cooling, glass blowing, etc. At the end of this work, we found that the velocity and temperature profile increases with the increasing values of the viscoelastic parameter and solid volume fraction; additionally, efficiency is increased for higher values of thermal radiation.

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Section: Analytical Solutions 21 Analytical Solution Of Momentum Equa...mentioning

confidence: 99%

An MHD Fluid Flow over a Porous Stretching/Shrinking Sheet with Slips and Mass Transpiration

2022

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“…Recently many works have been conducted on nanofluids, hybrid nanofluids and carbon nanotubes with a variety of boundary conditions under many situations such as MHD and thermal radiation, mass transpiration and so on. Mahabaleshwar et al [16][17][18] and Anusha et al [19] worked on role of brinkmann model with non-Newtonian fluid flow in the presence of porous medium with heat transfer and the effect of hybrid nanofluid flow with superlinear stretching sheet and Navier's slip effects on flow of a fluid with thermal radiation and mass transpiration.…”

Section: Nomenclaturementioning

confidence: 99%

Navier Slip and Heat Transfer in a Nanofluid Due to a Stretching/Shrinking Sheet: An Analytical Study

Vishalakshi¹,

Mahabaleshwar²,

Ganaoui³

et al. 2022

Fluid Dynamics &Amp; Materials Processing

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“…Recently, energy-saving in heat transfer systems by hybrid nanofluid has attracted attention from scholars 1 – 4 . A hybrid nanofluid is a new type of working fluid that consists of two or more nanoparticles.…”

Section: Introductionmentioning

confidence: 99%

Space-fractional heat transfer analysis of hybrid nanofluid along a permeable plate considering inclined magnetic field

Khazayinejad

Nourazar

2022

Sci Rep

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In this study, the Caputo space-fractional derivatives of energy equation are used to model the heat transfer of hybrid nanofluid flow along a plate. The plate is considered permeable and affected by an inclined magnetic field. We use the space-fractional derivative of Fourier’s law to communicate between the nonlocal temperature gradient and heat flux. The hybrid nanofluid is formed by dispersing graphene oxide and silver nanoparticles in water. The new fractional integro-differential boundary layer equations are reduced to ordinary nonlinear equations utilizing suitable normalizations and solved via a novel semi-analytical approach, namely the optimized collocation method. The results reveal that the increment of the order of space-fractional derivatives and the magnetic inclination angle increase the Nusselt number. Also, an increase in the order of space-fractional derivatives leads to a thicker thermal boundary layer thickness resulting in a higher temperature. It is also found that the temperature of the fluid rises by changing the working fluid from pure water to single nanofluid and hybrid nanofluid, respectively. What is more, the proposed semi-analytical method will be beneficial to future research in fractional boundary layer problems.

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The MHD Newtonian hybrid nanofluid flow and mass transfer analysis due to super-linear stretching sheet embedded in porous medium

Cited by 44 publications

References 42 publications

An MHD Fluid Flow over a Porous Stretching/Shrinking Sheet with Slips and Mass Transpiration

An MHD Fluid Flow over a Porous Stretching/Shrinking Sheet with Slips and Mass Transpiration

Navier Slip and Heat Transfer in a Nanofluid Due to a Stretching/Shrinking Sheet: An Analytical Study

Space-fractional heat transfer analysis of hybrid nanofluid along a permeable plate considering inclined magnetic field

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