Effect of Soret and Dufour numbers on double diffusive mixed convection boundary layer flow induced by a shrinking sheet

Isa, Siti Suzilliana Putri Mohamed; Arifin, Norihan Md; Farooq, Umer

doi:10.1088/1742-6596/1298/1/012024

Cited by 6 publications

(19 citation statements)

References 16 publications

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“…In the cases of stretching and shrinking sheet with zero inclination angle, there is a high possibility of achieving multiple numerical solutions. The occurrence of multiple solutions in the related cases have been done by some researchers [8][9][10][11][12][13][14], and their work focused on the exponential function of stretching/shrinking sheet velocity. Meanwhile, dual numerical solutions in linear inclined stretching/shrinking sheet have been obtained by Lund et al, [7].…”

Section: Introductionmentioning

confidence: 99%

“…As a conclusion, a stable numerical solution is reliable and really occurs in an actual fluid state [14]. The application of stability analysis in the related cases (zero inclined stretching/shrinking sheet) has been done by some researchers [11,[15][16][17]. Meanwhile, Lund et al, [7] have successfully selected the stable solution in their model micropolar fluid.…”

Section: Introductionmentioning

confidence: 99%

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The Boundary Layer Flow, Heat and Mass Transfer beyond an Exponentially Stretching/Shrinking Inclined Sheet

Azmi¹,

Isa²,

Arifin³

2020

CFDL

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The characteristics of heat and mass transmission, together with the features of fluid flow where the fluid is bounded by a stretching/shrinking sheet are influenced by the rotation angle of the sheet. In addition, the comparison between two conditions of stretching/shrinking sheet, known as: 1. normal position of sheet (zero rotation), 2. when it is inclined, contribute significant applications in science and technology, especially in experimental and theoretical research. According to this fact, this paper examines the impact of stretching and shrinking parameters acting on the inclined sheet, which contribute to the changes on the flow, heat and mass transfer in a Newtonian fluid. The variations of velocity, temperature and concentration of Newtonian fluid also being observed. The momentum, energy and concentration equations are acting as the controlling equations and written as partial differential equations (PDE). Subsequently, these equations were transformed into the ordinary differential equations (ODE) by using the similarity transformation. Finally, the ODE is solved numerically by bvp4c program in Matlab software. Dual numerical solutions are obtained in this paper, and presented in the figure form. The features of flow pattern, heat and mass transfer are described in details, together with the profiles of velocity, temperature and concentration of the related fluid. As a result, it is found that rate of skin friction coefficient, local Nusselt number, and local Sherwood number are reduced with the addition of inclination angle. On the other hand, velocity profile and the local Nusselt number are enhanced due to the impact of stretching rate at the inclined sheet.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Boundary Layer Flow, Heat and Mass Transfer beyond an Exponentially Stretching/Shrinking Inclined Sheet

Azmi¹,

Isa²,

Arifin³

2020

CFDL

Self Cite

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“…Besides, the wall mass suction velocity is represented by ( ) < 0. The term exp( 2 ⁄ ) in temperature and concentration distribution are taken from the previous study [18,[22][23][24] in the problem for two-dimensional fluid flow with the presence of Soret Dufour effects and when concentration equation is included in governing equations. The assumption of temperature and concentration functions are to make sure the numerical results will satisfy final boundary condition after substituting similarity variables.…”

Section: Methodology 21 Mathematical Formulationmentioning

confidence: 99%

“…In the presence of mixed convection with extending and compressing sheet, there is high possibility to achieve multiple numerical solutions. The occurrence of multiple solutions in the related cases (stretching/shrinking sheet) have been done by some researchers [8][9][14][15][16][17][18]. Thus, to verify the excepted solution stability analysis is used, and the rest is decided as unstable.…”

Section: Introductionmentioning

confidence: 99%

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Dual Numerical Solutions on Mixed Convection Casson Fluid Flow Due to the Effect of the Rate of Extending and Compressing Sheet – Stability Analysis

Parvin¹,

Isa²,

Arifin³

et al. 2020

CFDL

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Numerical model of mixed convection boundary layer flow, heat and mass transfer beyond an extending or compressing sheet are developed by Mathematicians in the field of Applied Mathematics Fluid Dynamics. Most of the numerical results can be used as a comparison with the results by experimental works. In the numerical model of mixed convection with extending and compressing sheet, there is high possibility to achieve dual solutions. One of the solutions is stable, reliable and really occur in actual fluid mechanism. Meanwhile, another solution is unstable, unreliable and rejected. According to this statement, the dual numerical solutions of mixed convection Casson fluid flow, which is subjected to the rate of extending and compressing sheet is reported in this paper. The extending rate is denoted as positive values, otherwise it is declared as compression of the sheet. The usage of similarity variables is to perform the conversion from partial differential equations (PDE) to ordinary differential equations (ODE). The PDE are formed from the equations of momentum, energy and concentration. Finally, ODE are solved numerically by bvp4c program in Matlab software. Stability analysis is performed to deal with dual numerical solutions, which select the most stable solution and physically reliable. The numerical results of velocity, temperature and concentration are presented, subjected to the governed parameters in the modelled problem. As a conclusion, the variations of velocity, temperature and concentration against boundary layer thickness are fully affected by compressing and extending parameters.

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Numerical study of mixed convection and buoyancy ratio on MHD fluid flow beyond an inclined sheet

2021

MHD

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Mixed convection is commonly used in electronic cooling processes and nuclear reactor technology. As a result, this study aims to demonstrate the mathematical formulation of fluid flow, heat and mass transfer under the controlling physical parameters such as mixed convection, buoyancy ratio, suction, magnetic field, and rotation angle of the sheet. The variation in the wall shrinking velocity, temperature and concentration is expressed as an exponential function. Since controlling equations are partial differential equations, similarity transformations convert these partial differential equations to ordinary differential equations. Finally, these ordinary differential equations are considered as a non-linear and non-dimensional boundary value problem. The final solution of these ordinary differential equations is obtained numerically by applying the Matlab bvp4c programme. Stability analysis which determines the most stable numerical solution between duel solutions is also made using the Matlab bvp4c programme. Comparing the obtained computational results to previously published data shows a good agreement. All numerical results are graphically illustrated and explained, including the velocity, temperature and concentration profiles, skin friction coefficient, local Nusselt number, and local Sherwood number.

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Effect of Soret and Dufour numbers on double diffusive mixed convection boundary layer flow induced by a shrinking sheet

Cited by 6 publications

References 16 publications

The Boundary Layer Flow, Heat and Mass Transfer beyond an Exponentially Stretching/Shrinking Inclined Sheet

The Boundary Layer Flow, Heat and Mass Transfer beyond an Exponentially Stretching/Shrinking Inclined Sheet

Dual Numerical Solutions on Mixed Convection Casson Fluid Flow Due to the Effect of the Rate of Extending and Compressing Sheet – Stability Analysis

Numerical study of mixed convection and buoyancy ratio on MHD fluid flow beyond an inclined sheet

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