Analytical study of heat and mass transfer effects on unsteady Casson fluid flow over an oscillating plate with thermal and solutal boundary conditions

Endalew, Mehari Fentahun

doi:10.1002/htj.22172

Cited by 8 publications

(8 citation statements)

References 20 publications

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“…From the boundary conditions for the fluid flow described as follows 1,2,7,8

(], \begin{matrix} left \\ \overset{true¯}{u} = 0, \overset{true¯}{T} = {\overset{T}{true}}_{\infty}, \overset{true¯}{C} = {\overset{C}{true}}_{\infty} for \overset{true¯}{t} \leq 0 and \overset{true¯}{y} \geq 0, \\ \overset{true¯}{u} = u_{0} exp (\overset{true¯}{α} \overset{true¯}{t}), at \overset{true¯}{y} = 0 for \overset{true¯}{t} \geq 0, \\ \overset{true¯}{T} = {\overset{T}{true}}_{\infty} + ({\overset{T}{true}}_{w} - {\overset{T}{true}}_{\infty}) \frac{u_{0}^{2} \overset{true¯}{t}}{v} at \overset{true¯}{y} = 0 for \overset{true¯}{t} > 0, \\ \overset{true¯}{C} = {\overset{C}{true}}_{\infty} + ({\overset{C}{true}}_{w} - {\overset{C}{true}}_{\infty}) \frac{u_{0}^{2} \overset{true¯}{t}}{v} at \overset{true¯}{y} = 0 for \overset{true¯}{t} > 0, \\ \overset{true¯}{u} \to 0, \overset{true¯}{T} \to {\overset{T}{true}}_{\infty}, \overset{true¯}{C} \to {\overset{C}{true}}_{\infty} as \overset{true¯}{y} \to \infty for \overset{true¯}{t} > 0 . \end{matrix})

…”

Section: Mathematical Analysismentioning

confidence: 99%

“…Also, it is identified that human blood, jelly, honey, concentrated fruit juices, soup, and tomato sauce are illustrations of the Casson liquid model. [1][2][3][4][5][6][7][8][9] Heat and mass transfer with boundary layer stream across an accelerating surface/plate is a basic field of fluid dynamics with several application areas. Vertical plates/surfaces appear in wrapping dynamics, surface texture, spray coating, biological sterilization, electro-microfluidics, thermoplastic stretching, and other applications.…”

Section: Introductionmentioning

confidence: 99%

“…So, as a result of this, it has many applications in the areas of drilling operations, metallurgy, food processing, and operational bioengineering. Also, it is identified that human blood, jelly, honey, concentrated fruit juices, soup, and tomato sauce are illustrations of the Casson liquid model 1–9 …”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Impact of the electromagnetic flow of an MHD Casson fluid over an oscillating porous plate

Vijayaragavan

Bharathi²,

Prakash³

2022

Heat Trans

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This study deals with the effect of electric force and magnetohydrodynamics (MHD) of the transient state on natural convection flow past an oscillating vertical plate. In addition to this, thermal radiation and porous media are also examined in the Casson fluid flow. The Poisson-Boltzmann equation is employed to show the electric potential character within the fluid region, which is put into a linear form by the implementation of Debye-Hückel linearization. It is possible to compute the precise solution to the governing equations using the Laplace transform approach. The expression of fluid velocity, fluid concentration, and temperature are exposed graphically, and numerical results for Nusselt and Sherwood numbers are also derived for vital pertinent flow constraints. Increasing electroosmosis parameters strongly boosts fluid velocity. The nonnegative values of the Helmholtz-Smoluchowski velocity highly induce the axial velocity and the negative value decelerates. With increasing radiation strength and Prandtl number, the fluid's temperature distribution diminishes. These more intricate electrokinetic rheological flows associated with electroosmotic separators, such as biomedical absorbers, are illuminated by these models.

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“…From the boundary conditions for the fluid flow described as follows 1,2,7,8

(], \begin{matrix} left \\ \overset{true¯}{u} = 0, \overset{true¯}{T} = {\overset{T}{true}}_{\infty}, \overset{true¯}{C} = {\overset{C}{true}}_{\infty} for \overset{true¯}{t} \leq 0 and \overset{true¯}{y} \geq 0, \\ \overset{true¯}{u} = u_{0} exp (\overset{true¯}{α} \overset{true¯}{t}), at \overset{true¯}{y} = 0 for \overset{true¯}{t} \geq 0, \\ \overset{true¯}{T} = {\overset{T}{true}}_{\infty} + ({\overset{T}{true}}_{w} - {\overset{T}{true}}_{\infty}) \frac{u_{0}^{2} \overset{true¯}{t}}{v} at \overset{true¯}{y} = 0 for \overset{true¯}{t} > 0, \\ \overset{true¯}{C} = {\overset{C}{true}}_{\infty} + ({\overset{C}{true}}_{w} - {\overset{C}{true}}_{\infty}) \frac{u_{0}^{2} \overset{true¯}{t}}{v} at \overset{true¯}{y} = 0 for \overset{true¯}{t} > 0, \\ \overset{true¯}{u} \to 0, \overset{true¯}{T} \to {\overset{T}{true}}_{\infty}, \overset{true¯}{C} \to {\overset{C}{true}}_{\infty} as \overset{true¯}{y} \to \infty for \overset{true¯}{t} > 0 . \end{matrix})

…”

Section: Mathematical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Impact of the electromagnetic flow of an MHD Casson fluid over an oscillating porous plate

Vijayaragavan

Bharathi²,

Prakash³

2022

Heat Trans

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“…Patel 14 explored the impact of temperature generating thermal radiation in addition to Hall impacts on MHDs Casson liquid movement over a fluctuating plate into an absorbent medium. Endalew 15 analytically studied the temperature as well as accumulation transportations effects on unsteady Casson liquid flows past a fluctuating plate by the thermally as well as solutal frontier circumstances.…”

Section: Introductionmentioning

confidence: 99%

Chemical reaction effects on magnetohydrodynamic convective flow past a vertical absorbent plate with ramped wall temperature and concentration

Harikrushna

Rao²,

Reddy

2023

Heat Trans

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The numerical analysis is conducted to evaluate the heat generating as well as Soret-Dufour influences on magnetohydrodynamic unsteady chemically reacting fluid. It is owing to an exponentially stimulating perpendicular porous plate entrenched in the absorbent medium by considering ramped surface temperatures and concentrations in the endurance of thermal radiating. The fundamental governing set of equations of the fluid dynamics in the flow is converted into dimensionless form by inserting suitable dimensionless parameters and variables, and the resulting equations are numerically solved by the efficient Crank-Nicolson implicit finite difference method. The influence of several important substantial parameters into the model on the velocity, temperature, and concentration of the fluid, in addition to the skin-frictions coefficient, Nusselt's number along with Sherwood's number for both thermal conditions has been studied and explored intensely by making use of graphs and tables. It is discovered that, with mounting values of Dufour, heat generating as well as thermal radiating parameters, the fluid temperatures, and velocity enhanced. Likewise, it is noticed that increasing the Soret parameter causes

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“…In this research work, they have investigated important aspects of heat and mass transfer effects on MHD flow past through a porous medium. Recently, an analytical study of heat and mass transfer effects on a transient Casson fluid flow across an inclined plate is examined by Endalew [15].…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD Thin Film Flow of a Second-Grade Fluid past a Tilted Plate under the Impact of Thermal Radiation and Chemical Reaction

Endalew

Goshu

Tegegne

2022

Journal of Applied Mathematics

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This paper explores the impact of chemical reaction and thermal radiation on time-dependent hydromagnetic thin-film flow of a second-grade fluid across an inclined flat plate embedded in a porous medium. The thermal radiation based on the Rosseland approximation is incorporated in the energy equation. Uniform applied magnetic field and first-order homogenous chemical reaction are included in the momentum and concentration equations, respectively. The novel mathematical flow model is constructed by using a set of partial differential equations (PDEs). The PDEs are then transformed into an equivalent set of ordinary differential equations (ODEs) and solved by applying the Laplace transform method. However, the time domain solutions are obtained by using the INVLAP subroutine of MATLAB. Physical parameters influencing thin-film velocity, temperature, and concentration are illustrated graphically, while those affecting skin friction, heat, and mass transfer rates are presented in a tabular form. It is found that thin-film velocity and temperature boost with increasing values of thermal radiation, but thin-film velocity decreases with increasing values of chemical reaction and magnetic field. The current investigation is to enhance heat and mass transfer in the design of mechanical systems involving the thin film flow of second-grade fluids over an inclined flat plate after applying thermal radiation and chemical reaction.

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Analytical study of heat and mass transfer effects on unsteady Casson fluid flow over an oscillating plate with thermal and solutal boundary conditions

Cited by 8 publications

References 20 publications

Impact of the electromagnetic flow of an MHD Casson fluid over an oscillating porous plate

Impact of the electromagnetic flow of an MHD Casson fluid over an oscillating porous plate

Chemical reaction effects on magnetohydrodynamic convective flow past a vertical absorbent plate with ramped wall temperature and concentration

Unsteady MHD Thin Film Flow of a Second-Grade Fluid past a Tilted Plate under the Impact of Thermal Radiation and Chemical Reaction

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