Boundary layer flow with forced convective heat transfer and viscous dissipation past a porous rotating disk

Sharma, Kushal; Vijay, Neha; Makinde, Oluwole Daniel; Bhardwaj, S. B.; Singh, Ram Mehar; Mabood, Fazle

doi:10.1016/j.chaos.2021.111055

Cited by 45 publications

(21 citation statements)

References 18 publications

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“…The governing equations (conservation of mass, momentum, and energy) in component form for the time-independent ferrohydrodynamic (FHD) flow 43,44 :…”

Section: Mathematical Problemmentioning

confidence: 99%

“…Moreover, the linearized magnetic equation of state, boundary layer approximation in the radial direction, and magnetic potential with magnetic dipole (m) are described as reported by the authors. 26,43 Furthermore, the flux induced by thermal radiation [45][46][47] (Rosseland estimation for the radiation) can be popularized as follows:…”

Section: Mathematical Problemmentioning

confidence: 99%

“…The governing equations (conservation of mass, momentum, and energy) in component form for the time‐independent ferrohydrodynamic (FHD) flow 43,44 :

\frac{\partial u}{\partial r}&#x0002B;\frac{u}{r}&#x0002B;\frac{\partial w}{\partial z}=0,

u\frac{\partial u}{\partial r}&#x0002B;w\frac{\partial u}{\partial z}-\frac{{v}^{2}}{r}=-\frac{1}{\rho }\frac{\partial p}{\partial r}&#x0002B;\frac{{\mu }_{0}}{\rho }| M| \frac{\partial }{\partial r}| H| &#x0002B;\nu \left[\frac{{\partial }^{2}u}{\partial {r}^{2}}&#x0002B;\frac{\partial }{\partial r}\left(\frac{u}{r}\right)&#x0002B;\frac{{\partial }^{2}u}{\partial {z}^{2}}\right]&#x0002B;2{\rm{\Omega }}v-\frac{{\mu }_{\infty }}{\rho K}u,

$u\frac{\partial v}{\partial r}&#x0002B;w\frac{\partial v}{\partial z}&#x0002B;\frac{uv}{r}=\nu \left[\frac{{\partial }^{2}v}{\partial {r}^{2}}&#x0002B;\frac{\partial }{\partial r}\left(\frac{v}{r}\right)&#x0002B;\frac{{\pa...

…”

Section: Mathematical Problemmentioning

confidence: 99%

“…Further, the variation in the magnetic field is assumed as negligible in the z ‐direction. Moreover, the linearized magnetic equation of state, boundary layer approximation in the radial direction, and magnetic potential with magnetic dipole ( m ) are described as reported by the authors 26,43 . Furthermore, the flux induced by thermal radiation 45–47 (Rosseland estimation for the radiation) can be popularized as follows:

{q}_{r}=-\frac{4\sigma }{3{k}^{&#x0002A; }}\frac{\partial {T}^{4}}{\partial z},

where

{k}^{&#x0002A; }

and

\sigma \,

represent the mean absorption coefficient and the Stefan‐Boltzmann constant, respectively.…”

Section: Mathematical Problemmentioning

confidence: 99%

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FHD flow and heat transfer over a porous rotating disk accounting for Coriolis force along with viscous dissipation and thermal radiation

Martínez-León

2022

Heat Trans

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The prime concern of the current findings includes the effect of viscous dissipation and nonlinear thermal radiation on the study of ferrofluid flow and heat transfer past a porous rotating disk. The time‐independent flow of incompressible ferrofluid is modeled for the considered geometry, and via similarity transformations, the given system is converted to a dimensionless system of the nonlinear ordinary differential equations. Here, the findings are explored computationally with help of Maple software. The study exhibits the effect of the involved emerging parameters: the interaction parameter B $B$, Prandtl number P r $Pr$, rotation parameter R $R$, radiation parameter Q r $Qr$, Eckert number E c $Ec$, and these are discussed graphically. Moreover, the numerical values of heat transfer rate and skin frictions are also presented in tabular form. From the perspective of numerical findings, it is perceived that the radial flow is dominant when we increase the rotation of the disk. Furthermore, the magnitude of magnetic‐fluid temperature is enhanced with the surge in the magnetic field, viscous dissipation, and thermal radiation mechanism. Finally, the current research can successfully fill a gap in the existing literature.

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“…The governing equations (conservation of mass, momentum, and energy) in component form for the time-independent ferrohydrodynamic (FHD) flow 43,44 :…”

Section: Mathematical Problemmentioning

confidence: 99%

Section: Mathematical Problemmentioning

confidence: 99%

“…The governing equations (conservation of mass, momentum, and energy) in component form for the time‐independent ferrohydrodynamic (FHD) flow 43,44 :

\frac{\partial u}{\partial r}&#x0002B;\frac{u}{r}&#x0002B;\frac{\partial w}{\partial z}=0,

u\frac{\partial u}{\partial r}&#x0002B;w\frac{\partial u}{\partial z}-\frac{{v}^{2}}{r}=-\frac{1}{\rho }\frac{\partial p}{\partial r}&#x0002B;\frac{{\mu }_{0}}{\rho }| M| \frac{\partial }{\partial r}| H| &#x0002B;\nu \left[\frac{{\partial }^{2}u}{\partial {r}^{2}}&#x0002B;\frac{\partial }{\partial r}\left(\frac{u}{r}\right)&#x0002B;\frac{{\partial }^{2}u}{\partial {z}^{2}}\right]&#x0002B;2{\rm{\Omega }}v-\frac{{\mu }_{\infty }}{\rho K}u,

$u\frac{\partial v}{\partial r}&#x0002B;w\frac{\partial v}{\partial z}&#x0002B;\frac{uv}{r}=\nu \left[\frac{{\partial }^{2}v}{\partial {r}^{2}}&#x0002B;\frac{\partial }{\partial r}\left(\frac{v}{r}\right)&#x0002B;\frac{{\pa...

…”

Section: Mathematical Problemmentioning

confidence: 99%

{q}_{r}=-\frac{4\sigma }{3{k}^{&#x0002A; }}\frac{\partial {T}^{4}}{\partial z},

where

{k}^{&#x0002A; }

and

\sigma \,

represent the mean absorption coefficient and the Stefan‐Boltzmann constant, respectively.…”

Section: Mathematical Problemmentioning

confidence: 99%

See 2 more Smart Citations

FHD flow and heat transfer over a porous rotating disk accounting for Coriolis force along with viscous dissipation and thermal radiation

Martínez-León

2022

Heat Trans

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“…Sharma et al . (2021a, b) and Sharma (2021) investigated the boundary layer flow over porous rotating disk embedded in a porous medium using Neuringer–Rosensweig (NR) model. MHD flow has practical significance in various engineering fields such as MHD flow meters, pumps and power generation, etc.…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling of MHD flow and radiative heat transfer past a moving porous rotating disk with Hall effect

Kumar

Sharma

2022

MMMS

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PurposeThe present study aims to investigate the effect of radiation on the unsteady magnetohydrodynamic (MHD) flow of a viscous, electrically conducting Newtonian fluid over rotating disk moving upward/downward immersed in a porous medium, considering the Hall effect. The study is motivated by the various applications in the context of solar power technology, electric power generation, Hall accelerators, MHDs generators and other industrial areas when the fluid flow is subjected to the previously mentioned effects such as MHD, Hall effect and thermal radiation.Design/methodology/approachSuitable similarity transformations are employed to reduce the governing nonlinear partial differential equations into the nonlinear ordinary ones. The solutions of the reduced system are numerically obtained using the boundary value problem (BVP) Midrich scheme in Maple. The results are presented graphically for vertical disk movement, magnetic parameter, Hall current, Darcy parameter, thermal radiation and Schmidt number. Skin frictions, mass and heat transfer rates are numerically tabulated.FindingsIt is revealed that the vertical motion of the disk significantly boosts the radial and annular flows. Moreover, the Hall parameter has contrasting effects on velocity profiles for the range of magnetic field but temperature field is oblivious of this behavior. It is observed that heat and mass transfer considerably enhance along vertical disk movement. Also magnetic field, temperature ratio and radiation parameter significantly enhance the temperature field, while reaction rate parameter and Schmidt number decrease the concentration profile. The current model is calibrated in its reduced form to an already published literature with good correlation to ensure the numerical scheme's validity.Originality/valueThis work is original within the best efforts of the authors.

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Mixed convective magnetized GO‐MoS₂/H₂O hybrid nanofluid flow about a permeable rotating disk

Kulkarni¹

2023

Asia-Pacific J Chem Eng

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The primary objective of the present numerical analysis is to investigate the effect of a mixed convection flow around a disk containing hybrid nanofluid as graphene oxide (GO)‐molybdenum disulfide (MoS2) nanoparticles and water (H2O). This study examines the impacts of surface suction/injection, slip effect, magnetohydrodynamic effect, the shape of nanoparticles, and heat transfer characteristics, on a disk is analyzed. This research applies to disk‐shaped structures in aeronautical engineering, geophysics, and nuclear engineering, such as core catchers in nuclear power plant steam turbines, waxy crude oils or food products in centrifugal pumps, turbo‐machinery, and other industrial processes. Nonlinear partial differential equations (PDEs) with subjected surface restrictions represent this study's governing equations. It's a PDE. The Von Karman transformation can simplify PDEs into non‐dimensional ordinary differential equations, which can be solved using the MATLAB bvp5c function. The research findings indicate that the presence of hybrid nanoparticles results in a significant increase in the heat transfer rate compared to that of the nanoliquid. Increasing the strength of the magnetic field slows down the flow of a hybrid nanofluid. The gradient value pronounces impacts with increasing slip factor. The heat transfer rate increases significantly with the increase of sphericity of the nanoparticles.

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Boundary layer flow with forced convective heat transfer and viscous dissipation past a porous rotating disk

Cited by 45 publications

References 18 publications

FHD flow and heat transfer over a porous rotating disk accounting for Coriolis force along with viscous dissipation and thermal radiation

FHD flow and heat transfer over a porous rotating disk accounting for Coriolis force along with viscous dissipation and thermal radiation

Mathematical modeling of MHD flow and radiative heat transfer past a moving porous rotating disk with Hall effect

Mixed convective magnetized GO‐MoS₂/H₂O hybrid nanofluid flow about a permeable rotating disk

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Boundary layer flow with forced convective heat transfer and viscous dissipation past a porous rotating disk

Cited by 45 publications

References 18 publications

FHD flow and heat transfer over a porous rotating disk accounting for Coriolis force along with viscous dissipation and thermal radiation

FHD flow and heat transfer over a porous rotating disk accounting for Coriolis force along with viscous dissipation and thermal radiation

Mathematical modeling of MHD flow and radiative heat transfer past a moving porous rotating disk with Hall effect

Mixed convective magnetized GO‐MoS2/H2O hybrid nanofluid flow about a permeable rotating disk

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Product

Resources

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Mixed convective magnetized GO‐MoS₂/H₂O hybrid nanofluid flow about a permeable rotating disk