Browsing by Author "Muhammad Imran Asjad"

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    A prabhakar fractional approach for the convection flow of casson fluid across an oscillating surface based on the generalized fourier law
    (MDPI, 2021) Noman Sarwar; Muhammad Imran Asjad; Thanin Sitthiwirattham; Nichaphat Patanarapeelert; Taseer Muhammad; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
    In the present work, an unsteady convection flow of Casson fluid, together with an oscillating vertical plate, is examined. The governing PDEs corresponding to velocity and temperature profile are transformed into linear ODEs with the help of the Laplace transform method. The ordinary derivative model generalized to fractional model is based on a generalized Fourier law. The solutions for energy and velocity equations are obtained after making the equations dimensionless. To check the insight of the physical parameters, especially the symmetric behavior of fractional parameters, it is found that for small and large values of time, fluid properties show dual behavior. Since the fractional derivative exhibits the memory of the function at the chosen value of time, therefore the present fractional model is more suitable in exhibiting memory than the classical model. Such results can be useful in the fitting of real data where needed. In the limiting case when fractional parameters are taken _ = _ = 0 and _ = 1 for both velocity and temperature, we get the solutions obtained with ordinary derivatives from the existing literature. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
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    Impact of bioconvection and chemical reaction on MHD nanofluid flow due to exponential stretching sheet
    (MDPI, 2021) Muhammad Imran Asjad; Noman Sarwar; Bagh Ali; Sajjad Hussain; Thanin Sitthiwirattham; Jiraporn Reunsumrit; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
    Thermal management is a crucial task in the present era of miniatures and other gadgets of compact heat density. This communication presents the momentum and thermal transportation of nanofluid flow over a sheet that stretches exponentially. The fluid moves through a porous matrix in the presence of a magnetic field that is perpendicular to the flow direction. To achieve the main objective of efficient thermal transportation with increased thermal conductivity, the possible settling of nano entities is avoided with the bioconvection of microorganisms. Furthermore, thermal radiation, heat source dissipation, and activation energy are also considered. The formulation in the form of a partial differential equation is transmuted into an ordinary differential form with the implementation of appropriate similarity variables. Numerical treatment involving RungeÐKutta along with the shooting technique method was chosen to resolve the boundary values problem. To elucidate the physical insights of the problem, computational code was run for suitable ranges of the involved parameters. The fluid temperature directly rose with the buoyancy ratio parameter, Rayleigh number, Brownian motion parameter, and thermophoresis parameter. Thus, thermal transportation enhances with the inclusion of nano entities and the bioconvection of microorganisms. The findings are useful for heat exchangers working in various technological processors. The validation of the obtained results is also assured through comparison with the existing result. The satisfactory concurrence was also observed while comparing the present symmetrical results with the existing literature. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
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    The sharmaÐmittal modelÕs implications on FRW universe in ChernÐSimons gravity
    (MDPI, 2021) Sarfraz Ali; Muhammad Hummad Waheed; Muhammad Imran Asjad; Khuram Ali Khan; Thanin Sitthiwirattham; Chanon Promsakon; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
    The SharmaÐMittal holographic dark energy model is investigated in this paper using the ChernÐSimons modified gravity theory. We investigate several cosmic parameters, including the deceleration, equation of state, square of sound speed, and energy density. According to the deceleration parameter, the universe is in an decelerating and expanding phase known as de Sitter expansion. The SharmaÐMittal HDE model supports a deceleration to acceleration transition that is compatible with the observational data. The EoS depicts the universeÕs dominance era through a number of components, such as _ = 0,13, 1, which indicate that the universe is influenced by dust, radiation, and stiff fluid, while _1 < _ < 31, _ = _1, and _ < _1 are conditions for quintessence DE, _CDM, and Phantom era dominance. Our findings indicate that the universe is in an accelerated expansion phase, and this is similar to the observational data. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.