Analytical study for Soret, Hall, and Joule heating effects on natural convection flow saturated porous medium in a vertical channel

The heat transmissions of magnetohydrodynamic nanofluid flow through the cone, wedge, and plate have many industrial and commercial applications. The cone, wedge, and plate geometries are widely used in polymer data processing.That is why the authors have chosen to analyze the heat transmission of a hybrid nanofluid flow over multiple geometries. The hybrid nanofluid flow contains copper and silver nanoparticles, whereas sodium alginate is used as a base fluid.The impacts of thermal Grashof number, magnetic parameter, thermal radiation, and the Chataneo-Christov heat flux model are taken into consideration.The generated system of differential equations is solved with the help of homotopy analysis method (HAM). The convergence of HAM is also shown with the help of figures. Validation of current findings with previously reported findings over a cone surface has been analyzed and has found a great agreement with those reported results. The results showed that the temperature Grashof number reduces skin frictions while the augmenting magnetic parameter increases them. When compared to cone and plate geometry, these effects are more prominent for wedge geometry. Also, the impact of magnetic factor is 38% greater and the thermal Grashof number is 47% greater for hybrid nanofluid flow than the base fluid. The heat transfer rates are reduced with the increasing thermal relaxation and wall temperature parameters. The thermal relaxation is 4% greater and the wall temperature parameter is 14% greater for the hybrid nanofluid flow than the base fluid. The velocity profiles are decreased with the increasing magnetic parameter. The decreasing impact is larger for plate surface in comparison to the wedge and cone.

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“…Using different geometries, the further studies can be seen in refs. [38][39][40][41][42][43][44][45][46][47][48][49][50].…”

Section: Introductionmentioning

confidence: 99%

A comparative analysis of the magnetized sodium alginate‐based hybrid nanofluid flows through cone, wedge, and plate

Dawar

Islam

Shah³

et al. 2022

Z Angew Math Mech

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“…The concept of MHD was reported by Alfven. Owing to the importance of the aforesaid applications, plenty of theoretical examinations have been made by many authors (Jian, 2015;Reddy et al, 2015;Jha et al, 2015;Jha et al, 2017;Kaladhar et al, 2016;Makinde et al, 2016;Priyadarsan and Panda, 2017;Sindhu et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

Entropy analysis of Poiseuille nanofluid flow in a porous channel with slip and convective boundary conditions under magnetic field

Das

Chakraborty

Jana

2021

WJE

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Purpose This study aims to expose the flow phenomena and entropy generation during a; magnetohydrodynamic (MHD) Poiseuille flow of water-based nanofluids (NFs) in a porous channel subject to hydrodynamic slip and convective heating boundary conditions. The flow caused by the uniform pressure; gradient between infinite parallel plates is considered steady and fully developed. The nanoparticles; namely, copper, alumina and titanium oxide are taken with pure water as the base fluid. Viscous dissipation and Joule heating impacts are also incorporated in this investigation. Design/methodology/approach The reduced governing equations are solved analytically in closed form. The physical insights of noteworthy parameters on the important flow quantities are demonstrated through graphs and analyzed elaborately. The thermodynamic analysis is performed by calculating entropy generation; rate and Bejan number. A graphical comparison between solutions corresponding to NFs and regular fluid in the channel is also provided. Findings The analysis of the results divulges that entropy generation minimization can be achieved by an appropriate combination of the geometrical and physical parameters of thermomechanical systems. It is reported that ascent in magnetic parameter number declines the velocity profiles, while the inverse pattern is witnessed with augmentation in hydrodynamic slip parameters. The temperature dissemination declines with the growth of Biot numbers. It is perceived that the entropy generation rate lessens with an upgrade in magnetic parameter, whereas the reverse trend of Bejan number is perceived with expansion in magnetic parameter and Biot number. The important contribution of the result is that the entropy generation rate is controlled with an appropriate composition of thermo-physical parameter values. Moreover, in the presence of a magnetic field and suction/injection at the channel walls, the shear stresses at the channel walls are reduced about two times. Practical implications In various industrial applications, minimizing entropy generation plays a significant role. Miniaturization of entropy is the utilization of the energy of thermal devices such as micro heat exchangers, micromixers, micropumps and cooling microelectromechanical devices. Originality/value An attentive review of the literature discloses that quite a few studies have been conducted on entropy generation analysis of a fully developed MHD Poiseuille flow of NFs through a permeable channel subject to the velocity slip and convective heating conditions at the walls.

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“…Mixed convection flow of a couple stress fluid through a vertical channel has been investigated by Kaladhar et al (2016) using homotopy analysis method in the presence of thermal diffusion, Hall current and Joule effect. Kaladhar et al (2016) employed ADM method to discuss the natural convective transport within the vertical channel taking into account the Hall current, Soret and Joule heating. It is clear that temperature of the fluid decreases with increasing values of Hall parameter.…”

Section: Introductionmentioning

confidence: 99%

“…It is obtained that axial and transverse velocity for fluid and dust phase are enhanced with increasing values of Hall parameter. Mixed convection flow of a couple stress fluid through a vertical channel has been investigated by Kaladhar et al (2016) using homotopy analysis method in the presence of thermal diffusion, Hall current and Joule effect. Kaladhar et al (2016) employed ADM method to discuss the natural convective transport within the vertical channel taking into account the Hall current, Soret and Joule heating.…”

Section: Introductionmentioning

confidence: 99%

Entropy generation analysis of Casson fluid flow through a vertical microchannel under combined effect of viscous dissipation, joule heating, hall effect and thermal radiation

Gireesha¹,

Sindhu²

2019

MMMS

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Purpose Fully developed Casson fluid flow through vertical microchannel is deliberated in the presence of thermal radiation. The two predominant features of micro scale phenomenon such as velocity slip and temperature jump are considered. The paper aims to discuss this issue. Design/methodology/approach The governing equations of the physical phenomenon are solved using Runge–Kutta–Fehlberg fourth fifth order method. Findings The outcome of the present work is discussed through graphs. This computation shows that entropy generation rate decreases with enhancing wall ambient temperature difference ratio and fluid wall interaction parameter. Also, it is found that Bejan number is fully retarded with rise in fluid wall interaction parameter. Enhancement in heat transfer or Nusselt number is achieved by increasing the wall ambient temperature ratio and fluid wall interaction parameter. Originality/value Casson liquid flow through microchannel is analyzed by considering temperature jump and velocity slip. This computation shows that entropy generation rate decreases with enhancing wall ambient temperature difference ratio.

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Analytical study for Soret, Hall, and Joule heating effects on natural convection flow saturated porous medium in a vertical channel

Cited by 11 publications

References 15 publications

A comparative analysis of the magnetized sodium alginate‐based hybrid nanofluid flows through cone, wedge, and plate

A comparative analysis of the magnetized sodium alginate‐based hybrid nanofluid flows through cone, wedge, and plate

Entropy analysis of Poiseuille nanofluid flow in a porous channel with slip and convective boundary conditions under magnetic field

Entropy generation analysis of Casson fluid flow through a vertical microchannel under combined effect of viscous dissipation, joule heating, hall effect and thermal radiation

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