Mathematical analysis of heat and mass transfer in a Maxwell fluid

Khan, Maleq; Nadeem, Sohail; Ahmad, Shafiq; Saleem, Anber

doi:10.1177/0954406220976704

Cited by 19 publications

(14 citation statements)

References 31 publications

(22 reference statements)

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“…Hayat et al 32 observed Maxwell Fluid steady flow with convective boundary conditions. Khan et al 33 explored the mathematical study of double-diffusive in a Maxwell fluid. Muhammad et al 34 explored the combined impacts of heat and mass transfer on Maxwell fluid MHD free convection flow with variable temperature and concentration.…”

Section: Introductionmentioning

confidence: 99%

Magneto radiative and heat convective flow boundary layer in Maxwell fluid across a porous inclined vertical plate

Sudarmozhi

Iranian

Khan

et al. 2023

Sci Rep

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Heat transport in a 2D steady radiative boundary layer with Maxwell fluid flow and the influence of heat generation and MHD has been studied across a porous inclined vertical plate. Through similarity transformation, the mathematical modelling is converted to ODEs, and the built-in solver Bvp4c via MATLAB is used to solve. The linear movement of an inclined porous plate introduced the flow. The MHD (M), Prandtl number (Pr), radiation (Rd), Rayleigh number (Ra), local Nusselt number (Nux), angle of inclination (γ), and material relaxation time (β) have a considerable impact on the flow field as a result. The local Nusselt numbers and the skin friction coefficient are also given as numbers. The validation with the numerical solution is presented. The results are shown, and a thorough physical analysis has been done. The temperature of the fluid rises due to the greater electric field, increasing the heat transfer on the inclined plate. However, skin friction increases dramatically as the heat radiation parameter rises. The critical findings of this study are that the temperature profile increases and the velocity profile lower as the inclination angle increases. The Maxwell fluid parameter raises the velocity profile as well.

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Section: Introductionmentioning

confidence: 99%

Magneto radiative and heat convective flow boundary layer in Maxwell fluid across a porous inclined vertical plate

Sudarmozhi

Iranian

Khan

et al. 2023

Sci Rep

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“…Further, they explained the behavior of thermophoretic diffusive deposition velocity over diverse pertinent parameters. Khan et al 12 numerically analysed the thermophoretic and stratification effects on stream of a Maxwell liquid towards an extending sheet. Here, they explored the consequence of thermophoretic effect on fluid velocity.…”

Section: Introductionmentioning

confidence: 99%

Comprehensive study of thermophoretic diffusion deposition velocity effect on heat and mass transfer of ferromagnetic fluid flow along a stretching cylinder

Kumar

Gowda

Prasanna

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part E:

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The aim of this current investigation is to discuss the flow of a ferromagnetic viscous liquid with thermophoretic particle deposition over a stretching cylinder on taking account of a uniform heat source/sink. The non-dimensional form of equations for described flow is attained by using appropriate similarity variables. The solution of the resultant governing system is obtained by Runge-Kutta-Fehlberg’s fourth-fifth order method by adopting the shooting technique. The outcomes of dimensionless quantities are discussed on velocity, temperature, and concentration fields by using suitable graphs. Result reveals that the upshot in values of ferromagnetic interaction parameter increases the thermal gradient but a converse trend is detected for inclined values of heat source/sink parameter. An increase in thermophoretic parameter and thermophoretic coefficient declines the thermophoretic particle deposition velocity. The imposing of magnetic dipole and particle deposition has a receding impact on the rate of heat and mass transfers respectively. Excellent comparison is established through a tabular description to validate the adopted numerical procedure.

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“…Also, the analysis of Williamson nanofluid flow over stretching sheet was studied by Nadeem and Hussain (2014). Several researchers, Khan et al (2020b), Khana et al (2020), Kh et al (2018c), Ahmad et al (2020) and Nadeem et al (2020), Nadeem et al (2014), investigated the flow of non-Newtonian fluids in different situations.…”

Section: Introductionmentioning

confidence: 99%

Electroosmosis forces EOF driven boundary layer flow for a non-Newtonian fluid with planktonic microorganism: Darcy Forchheimer model

Zaher

Ali

Mekheimer

2021

HFF

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Purpose The study of the electro-osmotic forces (EOF) in the flow of the boundary layer has been a topic of interest in biomedical engineering and other engineering fields. The purpose of this paper is to develop an innovative mathematical model for electro-osmotic boundary layer flow. This type of fluid flow requires sophisticated mathematical models and numerical simulations. Design/methodology/approach The effect of EOF on the boundary layer Williamson fluid model containing a gyrotactic microorganism through a non-Darcian flow (Forchheimer model) is investigated. The problem is formulated mathematically by a system of non-linear partial differential equations (PDEs). By using suitable transformations, the PDEs system is transformed into a system of non-linear ordinary differential equations subjected to the appropriate boundary conditions. Those equations are solved numerically using the finite difference method. Findings The boundary layer velocity is lower in the case of non-Newtonian fluid when it is compared with that for a Newtonian fluid. The electro-osmotic parameter makes an increase in the velocity of the boundary layer. The boundary layer velocity is lower in the case of non-Darcian fluid when it is compared with Darcian fluid and as the Forchheimer parameter increases the behavior of the velocity becomes more closely. Entropy generation decays speedily far away from the wall and an opposite effect occurs on the Bejan number behavior. Originality/value The present outcomes are enriched to give valuable information for the research scientists in the field of biomedical engineering and other engineering fields. Also, the proposed outcomes are hopefully beneficial for the experimental investigation of the electroosmotic forces on flows with non-Newtonian models and containing a gyrotactic microorganism.

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Mathematical analysis of heat and mass transfer in a Maxwell fluid

Cited by 19 publications

References 31 publications

Magneto radiative and heat convective flow boundary layer in Maxwell fluid across a porous inclined vertical plate

Magneto radiative and heat convective flow boundary layer in Maxwell fluid across a porous inclined vertical plate

Comprehensive study of thermophoretic diffusion deposition velocity effect on heat and mass transfer of ferromagnetic fluid flow along a stretching cylinder

Electroosmosis forces EOF driven boundary layer flow for a non-Newtonian fluid with planktonic microorganism: Darcy Forchheimer model

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