Study of entropy generation in transient hydromagnetic flow of couple stress fluid due to heat and mass transfer from a radiative vertical cylinder

In the present study, the influence of the induced magnetic field on the MHD mixed convective electrically conducting fluid flow inside the vertical cylindrical annulus is analyzed numerically. The heat transfer is presumed to be due to a combination of mixed convection and radiation. The stability of the flow is examined when the solid and fluid phases are not in local thermal equilibrium. The governing equations are solved numerically by both finite difference and finite element methods. To control the flow formation rate more accurately the induced magnetic field is also considered in this study. As the magnetic Prandtl number (Pm) and Hartmann number (M) get enhanced, the velocity and induced magnetic fields get retarded in the annulus due to the presence of drag‐like force, namely, the Lorentz force. When there is an increase in the mixed convection parameter the induced magnetic field gets enhanced. An increase in radiation parameter tends to decline the fluid temperature and reverse the behavior of the solid temperature. Increment in Pm decreases the wall shear stress near the conducting cylinder. Increasing values of porous, magnetic, and radiation parameters lead to an unstable system with smaller heat transfer coefficient values but the system gets stabilized for larger values of heat transfer coefficient. The results could be used as first‐hand information for comprehending and developing the thermal flow phenomenon in porous media. The obtained numerical results are in good accordance with the existing results. Using an artificial neural network, heat transfer characteristics are analyzed through mean square error and regression analysis.

Section: Introductionmentioning

confidence: 99%

Stability analysis of MHD radiative mixed convective flow in vertical cylindrical annulus: Thermal nonequilibrium approach

Shilpa

Leela

Rani³

2022

“…More recently Ramana Murthy et al, 24 have used a homotopy algorithm to conduct a second law thermodynamic simulation of CSF with radiative flux effects. Further work on couple stress was done by Janardhana Reddy and his co‐workers 25–28 . The effects of Soret and Dufour parameters on the thermosolutal convection in a horizontal CSF layer with constant temperature and solutal concentration were investigated by Ragoju et al 25 They proved that the solutal Rayleigh number and couple stress parameter delayed the onset of stationary and oscillatory convection.…”

Section: Introductionmentioning

confidence: 99%

“…The Lewis number and positive values of the Dufour parameter delayed the onset of the stationary convection but advanced the onset of oscillatory convections. Reddy et al 26 discussed the unsteady radiative‐convective hydromagnetic CSF flow from a vertical cylinder using the thermodynamic concept. They found that the required time to reach the steady‐state increased for increasing values of magnetic parameter and radiation parameter.…”

Section: Introductionmentioning

confidence: 99%

“…Further work on couple stress was done by Janardhana Reddy and his co-workers. [25][26][27][28] The effects of Soret and Dufour parameters on the thermosolutal convection in a horizontal CSF layer with constant temperature and solutal concentration were investigated by Ragoju et al 25 They proved that the solutal Rayleigh number and couple stress parameter delayed the onset of stationary and oscillatory convection. The Lewis number and positive values of the Dufour parameter delayed the onset of the stationary convection but advanced the onset of oscillatory convections.…”

Section: Introductionmentioning

confidence: 99%

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Heat transfer of couple stress fluid from a vertical funnel: Impedance boundary conditions

Umavathi

2022

The present level of literature on the subject matter indicates that nothing is known on the heat transfer across the couple stress rheological fluid flowing over a vertical avenue with Robin (mixed) wall conditions. The obtained conservation equations of the model are solved through DTM (differential transform method) and RPM (regular perturbation method). The nondimensional parameters obtained are a couple stress parameter, Brinkman number, mixed convection parameter, and Biot number. The computations reveal that flow acceleration and thermal enhancement is induced with increasing mixed convection parameter and Brinkman number for symmetric and asymmetric conditions. Increasing couple stress parameters dwindle the velocity and temperature for symmetric and asymmetric cases. The large values of the mixed convection parameter and Brinkman number increase the Nusselt values at the left wall and reduces at the right wall. The mass flow rate is augmented with the mixed convection parameter and Brinkman number but it is reduced with the couple stress parameter. The DTM, RKSM, and RPM solutions are in good agreement.

“…The Oldroyd-B liquid ("non-Newtonian") with hybrid nanostructure and heat transfer motion was created by Nayak et al 53 The couple stress nanofluid with convective heat transfer via stretching sheet was developed. [54][55][56][57][58]…”

Section: Introductionmentioning

confidence: 99%

Convection of 3D MHD non‐Newtonian couple stress nanofluid flow via stretching surface

Jagadeesh

Reddy

2022

This study involvesthe numerical modeling of steady thermal radiation and chemical reaction on non‐Newtonian fluid motion via a bidirectional stretching surface. We have taken convective boundary conditions, and heat sources on the stretching surface. The working fluid of the present study is Casson fluid (“non‐Newtonian”) with couple stress. The self‐similarity forms of the nonlinear thermal radiative flow model are obtained by using similarity variables. Furthermore, the numerical results are computed with the help of fourth‐order Runge–Kutta–Fehlberg method with a shooting algorithm after reducing nonlinear partial differential equations have been translated into strong ordinary differential equations (ODEs). Impacts of the various flow physical parameters especially Biot number, nonlinear thermal radiation, and heat source parameters containing nonlinear ODEs are discussed in detail for distinct numerical values. A comparison of calculated results with the known numerical results made with the previously published literature is mentioned and obtained a good agreement. Finally, we found that the R e x 1 / 2 C f x $R{e}_{x}^{1/2}{C}_{fx}$ (“coefficient of skin friction”) declines along x * ,0.35em y * $x* ,\,y* $ directions, respectively, with β $\beta $ via λ $\lambda $ while the opposite direction follows M $M$ with respect to λ $\lambda $ and the R e x − 1 / 2 N u x $R{e}_{x}^{-1/2}N{u}_{x}$ (“heat transfer rate”), R e x − 1 / 2 S h $R{e}_{x}^{-1/2}Sh$ (“mass transfer rate”) increase with Γ $\Gamma $ via γ 1 ${\gamma }_{1}$ while opposite direction follows γ 1 ${\gamma }_{1}$ with respect to γ 2 ${\gamma }_{2}$.