Fractional study on heat and mass transfer of MHD Oldroyd-B fluid with ramped velocity and temperature

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Iftikhar Nazish; Saeed Syed Tauseef; Riaz Muhammad Bilal

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Journal Paper

Paper Information

Journal: Computational Methods for Differential Equations Year:2022 | Volume:10 | Issue:2 Page(s): 372-395

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Title

Fractional study on heat and mass transfer of MHD Oldroyd-B fluid with ramped velocity and temperature

Author(s)

Iftikhar Nazish | Saeed Syed Tauseef | Riaz Muhammad Bilal | Issue Writer Certificate

Keywords

Oldroyd-B fluid

Fractional differential operator

Ramped velocity and temperature

Abstract

This study explores the time-dependent flow of MHD Oldroyd-B fluid under the effect of ramped wall velocity and temperature. The flow is confined to an infinite vertical plate embedded in a permeable surface with the impact of heat generation and thermal radiation. Solutions of velocity, temperature, and concentration are derived symmetrically by applying non-dimensional parameters along with Laplace transformation (LT) and numerical inversion algorithm. Graphical results for different physical constraints are produced for the velocity, temperature, and concentration profiles. Velocity and temperature profile decrease by increasing the effective Prandtl number. The existence of an effective Prandtl number may reflect the control of the thickness of momentum and enlargement of thermal conductivity. Velocity is decreasing for κ, , M, Prreff, and Sc while increasing for Gr and Gc. Temperature is an increasing function of the fractional parameter. Additionally, Atangana-Baleanu (ABC) model is good to explain the dynamics of fluid with better memory effect as compared to other fractional operators.

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APA: Copy

Iftikhar, Nazish, Saeed, Syed Tauseef, & Riaz, Muhammad Bilal. (2022). Fractional study on heat and mass transfer of MHD Oldroyd-B fluid with ramped velocity and temperature. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 10(2), 372-395. SID. https://sid.ir/paper/1057161/en

Vancouver: Copy

Iftikhar Nazish, Saeed Syed Tauseef, Riaz Muhammad Bilal. Fractional study on heat and mass transfer of MHD Oldroyd-B fluid with ramped velocity and temperature. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2022;10(2):372-395. Available from: https://sid.ir/paper/1057161/en

IEEE: Copy

Nazish Iftikhar, Syed Tauseef Saeed, and Muhammad Bilal Riaz, “Fractional study on heat and mass transfer of MHD Oldroyd-B fluid with ramped velocity and temperature,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 10, no. 2, pp. 372–395, 2022, [Online]. Available: https://sid.ir/paper/1057161/en

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