Ohmic–Viscous Dissipation and Heat Generation/Absorption Effects on MHD Nanofluid Flow Over a Stretching Cylinder with Suction/Injection

Mishra, Ashish; Kumar, Manoj

doi:10.1007/978-981-13-0680-8_5

Cited by 11 publications

(6 citation statements)

References 15 publications

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“…They found that concentration diminishes with Eckert number and thermal radiation. Recently, many studies 40–49 were published, which studied the influence of viscous dissipation effect at assorted conditions in fluid flow problems.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of MHD nanofluid flow over a wedge, including effects of viscous dissipation and heat generation/absorption, using Buongiorno model

Mishra¹,

Kumar

2021

Heat Trans

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The key purpose of this article is to examine magnetohydrodynamics flow, generative/absorptive heat, and mass transfer of nanofluid flow past a wedge in the presence of viscous dissipation through a porous medium. The investigation is completely theoretical, and the present model expresses the influence of Brownian motion and thermophoresis using the nanofluid Buongiorno model. The fundamental model of partial differential equations is reframed into the structure of ordinary differential equations implementing the nondimensional similarity transformation, which are tackled through the fourth–fifth‐order Runge–Kutta–Fehlberg algorithm together with the shooting scheme. The analysis of sundry nondimensional controlling parameters, such as magnetic parameter, Eckert number, heat generation/absorption parameter, porosity parameter, Brownian motion parameter, and thermophoresis parameter on velocity, temperature, and concentration profiles are discussed graphically. The effects of the physical factors on the rate of momentum and heat and mass transfer are also determined with appropriate analysis in terms of skin friction, Nusselt number, and Sherwood number. The outcomes illustrate that the local Nusselt number and local Sherwood number are reduced for higher values of the thermophoresis parameter. Besides, it is found that higher estimations of heat generation/absorption and viscous dissipation parameters increase temperature. Moreover, it is found that the temperature profile increases with the involvement of the Brownian motion parameter, while an opposite trend is observed in the concentration profile. A comparison is also provided for limiting cases to authenticate our obtained results.

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Section: Introductionmentioning

confidence: 99%

Numerical analysis of MHD nanofluid flow over a wedge, including effects of viscous dissipation and heat generation/absorption, using Buongiorno model

Mishra¹,

Kumar

2021

Heat Trans

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“…Kandwal et al [25] examined the impact of heat generation/absorption and viscous dissipation on the MHD flow of a water-based nanofluid containing silver nanoparticles in an inclined porous cylinder in the presence of suction/injection. Similarly, Mishra and Kumar [26] scrutinized the viscous-Ohmic dissipation effects on nanofluid flow over a stretching cylinder. Khashi'ie et al [27] investigated the characteristics of a hybrid Cu-Al 2 O 3 /water nanofluid due to a radially stretching/shrinking surface with the effects of Joule heating.…”

Section: Introductionmentioning

confidence: 99%

Shifted Legendre Collocation Method for the Solution of Unsteady Viscous-Ohmic Dissipative Hybrid Ferrofluid Flow over a Cylinder

2021

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A numerical treatment for the unsteady viscous-Ohmic dissipative flow of hybrid ferrofluid over a contracting cylinder is provided in this study. The hybrid ferrofluid was prepared by mixing a 50% water (H2O) + 50% ethylene glycol (EG) base fluid with a hybrid combination of magnetite (Fe3O4) and cobalt ferrite (CoFe2O4) ferroparticles. Suitable parameters were considered for the conversion of partial differential equations (PDEs) into ordinary differential equations (ODEs). The numerical solutions were established by expanding the unknowns and employing the truncated series of shifted Legendre polynomials. We begin by collocating the transformed ODEs by setting the collocation points. These collocated equations yield a system of algebraic equations containing shifted Legendre coefficients, which can be obtained by solving this system of equations. The effect of the various influencing parameters on the velocity and temperature flow profiles were plotted graphically and discussed in detail. The effects of the parameters on the skin friction coefficient and heat transfer rates were further presented. From the discussion, we come to the understanding that Eckert number considerably decreases both the skin friction coefficient and the heat transfer rate.

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“…They established detailed analysis to obtain dual solutions for of their problem. Mishra and Kumar [38] inspected the ohmic dissipation and heat source/sink on the boundary layer flow of Ag-water nanofluid past a stretching cylinder under the influence of suction/injection. Mishra and Kumar [39] have discussed similarity solution of Ag-water nanofluid past a vertical Riga plate under the effect of suction/injection.…”

Section: Introductionmentioning

confidence: 99%

A Non-Fourier’s and Non-Fick’s Approach to Study MHD Mixed Convective Copper Water Nanofluid Flow over Flat Plate Subjected to Convective Heating and Zero Wall Mass Flux Condition

Rawat

Negi

Upreti

et al. 2021

Int. J. Appl. Comput. Math

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A theoretical model of MHD mixed convective Cu-water nanofluid boundary layer flow over flat vertical plate has been developed and investigated. As a novelty, firstly, modified Buongiorno's model is utilized to include the effects of Brownian motion, thermophoresis and volume fraction for nanofluid. Secondly, thermal energy equation and concentration equation are modeled with the help of Cattaneo-Christov theory of heat and mass flux, respectively. Due to this non-Fourier's and non-Fick's approach, two parameters namely, thermal relaxation parameter and solutal relaxation parameter were introduced in thermal energy equation and concentration equation, respectively. In addition, the surface of flat plate is subjected to suction, convective heating and zero wall mass flux condition. Authors have used the similarity method and through analysis it is shown that transport equations can be converted to ODEs with the help of suitable similarity transformations. The analysis and computed results shows that various dimensional and non-dimensional parameters influence the velocity, temperature and concentration profiles. The pattern and behavior of boundary layer is depicted graphically. The results for skin friction coefficient and heat transfer coefficient are outlined in tabular form. The result of passive control of nanoparticles at the surface is that Brownian motion parameter does not influence the temperature profiles of nanofluid flow and heat transfer rate at the surface. Heat transfer coefficient is positively correlated to thermal relaxation parameter and Biot number, whereas thermophoresis parameter causes it to decrease. The flow of nanofluid is aided by buoyancy ratio parameter and thermophoresis parameter but B Sawan Kumar Rawat

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Ohmic–Viscous Dissipation and Heat Generation/Absorption Effects on MHD Nanofluid Flow Over a Stretching Cylinder with Suction/Injection

Cited by 11 publications

References 15 publications

Numerical analysis of MHD nanofluid flow over a wedge, including effects of viscous dissipation and heat generation/absorption, using Buongiorno model

Numerical analysis of MHD nanofluid flow over a wedge, including effects of viscous dissipation and heat generation/absorption, using Buongiorno model

Shifted Legendre Collocation Method for the Solution of Unsteady Viscous-Ohmic Dissipative Hybrid Ferrofluid Flow over a Cylinder

A Non-Fourier’s and Non-Fick’s Approach to Study MHD Mixed Convective Copper Water Nanofluid Flow over Flat Plate Subjected to Convective Heating and Zero Wall Mass Flux Condition

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