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    Öğe
    A comparative study on non-Newtonian fractional-order Brinkman type fluid with two different kernels
    (Wiley, 2024) Sarwar, Shahzad; Aleem, Maryam; Imran, Muhammad Asjad; Akgul, Ali
    This study carried out the free convective non-Newtonian fluid of Brinkman type flow near an upright plate moving with velocity f(t). A fractional order model for non-Newtonian fluid of Brinkman type flow is proposed. The time derivative in the proposed fractional flow model is considered by using the two types of fractional derivatives namely Caputo fractional derivative and Atangana-Baleanu fractional derivative. The system of conjugated fractional partial differential equations for the temperature theta, velocity u and concentration C are worked out by applying optimal homotopy asymptotic technique. The effectuate of tangible and fractional variables on the domains of velocity u, temperature theta and concentration C are envisioned graphically. The rate of heat and mass transfer in the form of Nu and Sh is also calculated for both fractional derivatives. The numerical results reveal the efficiency, reliability, significant features, and simple in computation with high accuracy of consider method for non-Newtonian fractional order fluid of Brinkman type flow. We ascertained that our results are in excellent agreement with the exact results.
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    Öğe
    Heat transfer analysis of magnetohydrodynamic Casson fluid through a porous medium with constant proportional Caputo derivative
    (Wiley, 2021) Aleem, Maryam; Asjad, Muhammad Imran; Akgul, Ali
    This article aims to investigate free convection of a Casson fluid past a vertical plate embedded in porous medium with invariant wall temperature. It is assumed that the fluid can conduct electricity and it is flowing across a porous medium. The partial differential equations governing the model are made dimensionless by using dimensionless parameters. The Laplace transform method is applied to get analytical results. Furthermore, the hybrid fractional model is developed and the exact solutions for momentum and energy equations are acquired. The obtained results are compared with classical ones and the effect of hybrid fractional parameters are analyzed graphically by using MathCad software. Skin friction and heat transfer rate Nu is analyzed for small and large times and for hybrid fractional parameter beta. We also have seen the increasing velocity profiles for buoyancy parameter Gr, whereas temperature of the fluid decreases for Pr Pr. The rate of heat transfer (Nu) and skin friction (C-f) can be minimized by increasing the values of beta. Furthermore, the constant proportional Caputo derivative model exhibits more decay in velocity in comparison with classical model given in Khalid et al. Therefore, the constant proportional Caputo differential model demonstrates better memory function than the classical one. Moreover, the obtained results are identical to already published results of Khalid et al. and Imran et al.