Accès libre

A Fractional Study of MHD Casson Fluid Motion With Thermal Radiative Flux and Heat Injection/Suction Mechanism Under Ramped Wall Condition: Application of Rabotnov Exponential Kernel

À propos de cet article

Citez

Kahshan M, Lu D, Siddiqui AM. A Jeffrey fluid model for a porous-walled channel: Application to flat plate dialyzer, Sci. Rep. 2019;9(1):1-18. Search in Google Scholar

Mohebbi R, Delouei AA, Jamali A, Izadi M, Mohamad AA. Pore-scale simulation of non-Newtonian power-law fluid flow and forced convection in partially porous media: Thermal lattice Boltzmann method, Physica A. 2019; 525: 642-656. Search in Google Scholar

Riaz MB, Rehman AU, Wojciechowski A, Atangana A. Heat and mass flux analysis of magneto-free-convection flow of Oldroyd-B fluid through porous layered inclined plate. Sci Rep. 2023;13: 653. https://doi.org/10.1038/s41598-022-27265-w Search in Google Scholar

Riaz MB, Abro KA, Abualnaja KM. Akgül A. Rehman AU, Abbas M, Hamed YS. Exact solutions involving special functions for unsteady convective flow of magnetohydrodynamic second grade fluid with ramped conditions, Advances in Difference Equations. 2021; 408. https://doi.org/10.1186/s13662-021-03562-y Search in Google Scholar

Riaz MB, Awrejcewicz J, Rehman AU. Functional Effects of Permeability on Oldroyd-B Fluid under Magnetization: A Comparison of Slipping and Non-Slipping Solutions. Appl. Sci. 2021; 11: 11477 https://doi.org/10.3390/app112311477. Search in Google Scholar

Khan Z, Tairan N, Mashwani WK, Rasheed HU, Shah ., Khan W. MHD and slip effect on two-immiscible third grade fluid on thin film flow over a vertical moving belt, Open Phys. 2019; 17 (1); 575-586. Search in Google Scholar

Casso N. A flow equation for pigment-oil suspensions of the printing ink type. In Rheology of Disperse Systems. Ed. Mill, C. C. Pergamon Press, Oxford. 1959; 84-104. Search in Google Scholar

Hussain M, Ali A, Ghaffar A. et al. Flow and thermal study of MHD Casson fluid past a moving stretching porous wedge. J Therm Anal Calorim.2022;147:6959-6969. https://doi.org/10.1007/s10973-021-10983-0 Search in Google Scholar

Hussain M, Ghaffar A, Ali A, Shahzad A, Nisar KS, Alharthi MR, Jamshed W. MHD thermal boundary layer flow of a Casson fluid over a penetrable stretching wedge in the existence of nonlinear radiation and convective boundary condition, Alexandria Engineering Journal.2021;60(6):5473—5483. https://doi.org/10.1016/j.aej.2021.03.042 Search in Google Scholar

Ali A, Hussain M, Anwar MS. et al. Mathematical modeling and parametric investigation of blood flow through a stenosis artery. Appl. Math. Mech.-Engl. Ed.2021; 42:1675-1684. https://doi.org/10.1007/s10483-021-2791-8 Search in Google Scholar

Khalid A, Khan I, Khan A, Shafie S. Unsteady MHD free convection flow of Casson fluid past over an oscillating vertical plate embedded in a porous medium. Eng. Sci. Technol. Int. J. 2015;18(3):309-317. Search in Google Scholar

Hussain M, Ali A, Inc M, Sene N, Hussan M. Impacts of Chemical Reaction and Suction/Injection on the Mixed Convective Williamson Fluid past a Penetrable Porous Wedge, Journal of Mathematics. 2022. https://doi.org/10.1155/2022/3233964 Search in Google Scholar

Bhattacharyya K, Hayat T, Alsaedi A. Analytic solution for magneto-hydrodynamic boundary layer flow of Casson fluid over a stretching/shrinking sheet with wall mass transfer. Chin. Phys. B. 2013;22(2): 024702. Search in Google Scholar

Oka S. An approach to $\alpha$ unified theory of the flow behavior of time-independent non-Newtonian suspensions. Jpn. J. Appl. Phys.1971; 10(3): 287. Search in Google Scholar

Riaz MB, Awrejcewicz J Rehman AU, Abbas M. Special functions-based solutions of unsteady convective flow of a MHD Maxwell fluid for ramped wall temperature and velocity with concentration. Advances in Difference Equations 2021. https://doi.org/10.1186/s13662-021-03657-6 Search in Google Scholar

Hussain Z, Alshomrani AS. Muhammad T, Anwar MS. Entropy analysis in mixed convective flow of hybrid nanofluid subject to melting heat and chemical reactions, Case Studies in Thermal Engineering.2022;34. https://doi.org/10.1016/j.csite.2022.101972. Search in Google Scholar

Mernone AV, Mazumdar JN, Lucas SK. A mathematical study of peristaltic transport of a Casson fluid. Math. Comput. Model. 2002; 35(7-8): 895-912. Search in Google Scholar

Arthur EM, Seini IY, Bortteir B. Analysis of Casson fluid flow over a vertical porous surface with chemical reaction in the presence of magnetic field. J Appl. Math. Phys. 2015;3:713-723. Search in Google Scholar

Mukhopadhyay S. Effects of thermal radiation on Casson fluid flow and heat transfer over an unsteady stretching surface subjected to suction/blowing. Chin. Phys. B.2013;22(11): 114702. Search in Google Scholar

Mustafa M, Hayat T, Pop I, Aziz A. Unsteady boundary layer flow of a Casson fluid due to an impulsively started moving flat plate. Heat Transf. 2011;40(6): 563-576. Search in Google Scholar

Rehman AU, Riaz MB, Khan I, Mohamed A. Time fractional analysis of Casson fluid with application of novel hybrid fractional derivative operator. AIMS Mathematics, 2023; 8(4): 8185-8209. https://doi.org/10.3934/math.2023414. Search in Google Scholar

Riaz MB, Rehman AU Awrejcewicz J Akgül A. Power Law Kernel Analysis of MHD Maxwell Fluid with Ramped Boundary Conditions: Transport Phenomena Solutions Based on Special Functions. Fractal Fract.2021;5:248. https://doi.org/10.3390/fractalfract5040248. Search in Google Scholar

Rehman AU, Riaz MB, Rehman W, Awrejcewicz J, Baleanu D. Fractional Modeling of Viscous Fluid over a Moveable Inclined Plate Subject to Exponential Heating with Singular and Non-Singular Kernels. Math. Comput. Appl. 2022; 27: 8. https://doi.org/10.3390/mca27010008 Search in Google Scholar

Kumar S, Ghosh S, Samet B, Doungmo Goufo EF. An analysis for heat equations arises in diffusion process using new Yang-Abdel-Aty-Cattani fractional operator. Mathematical Methods in the Applied Sciences.2020;43(9):6062-6080. https://doi.org/10.1002/mma.6347. Search in Google Scholar

Bagley RL, Torvik PJ. A theoretical basis for the application of fractional calculus to viscoelasticity, J. Rheol. 1983; 27 (3): 201-210. Search in Google Scholar

Rehman AU, Riaz MB, Atangana A, Jarad F, Awrejcewicz J. Thermal and concentration diffusion impacts on MHD Maxwell fluid: A generalized Fourier’s and Fick’s perspective, Case Studies in Thermal Engineering.2022;35. https://doi.org/10.1016/j.csite.2022.102103 Search in Google Scholar

Riaz MB, Awrejcewicz J, Rehman AU, Akgül A. Thermophysical Investigation of Oldroyd-B Fluid with Functional Effects of Permeability: Memory Effect Study Using Non-Singular Kernel Derivative Approach. Fractal Fract. 2021; 5: 124. https://doi.org/10.3390/fractalfract5030124 Search in Google Scholar

Rehman AU, Jarad F, Riaz MB, Shah ZH. Generalized Mittag-Leffler Kernel Form Solutions of Free Convection Heat and Mass Transfer Flow of Maxwell Fluid with Newtonian Heating: Prabhakar Fractional Derivative Approach. Fractal Fract. 2022; 6: 98. https://doi.org/10.3390/fractalfract6020098. Search in Google Scholar

Mohammadi H, Kumar S, Rezapour S, Etemad S. A theoretical study of the Caputo–Fabrizio fractional modeling for hearing loss due to Mumps virus with optimal control. Chaos, Solitons & Fractals.2021; 144. https://doi.org/10.1016/j.chaos.2021.110668. Search in Google Scholar

Rehman AU, Riaz MB, Wojciechowski A. Thermo diffusion impacts on the flow of second grade fluid with application of (ABC), (CF) and (CPC) subject to exponential heating. Sci Rep. 2022; 12:18437 https://doi.org/10.1038/s41598-022-21773-5. Search in Google Scholar

Kumar S, Nisar KS, Kumar R, Cattani C, Samet B. A new Rabotnov fractional-exponential function-based fractional derivative for diffusion equation under external force. Mathematical Methods in the Applied Sciences. 2020; 43(7): 4460-4471. https://doi.org/10.1002/mma.6208 Search in Google Scholar

Jleli M, Kumar S, Kumar R, Samet B. Analytical approach for time fractional wave equations in the sense of Yang-Abdel-Aty-Cattani via the homotopy perturbation transform method, Alexandria Engineering Journal. 2020; 59(5): 2859-2863. https://doi.org/10.1016/j.aej.2019.12.022 Search in Google Scholar

Hayat T, Sajjad R, Asghar S. Series solution for MHD channel flow of a Jeffery fluid, Commun. Nonlin. Sci. Numer. Simulat. 2010; 15(9):2400-2406. https://doi.org/10.1016/j.cnsns.2009.09.033. Search in Google Scholar

Kumar S, Chauhan RP. Momani S., Hadid S. Numerical investigations on COVID-19 model through singular and non-singular fractional operators. Numerical Methods for Partial Differential Equations. https://doi.org/10.1002/num.22707. Search in Google Scholar

Rehman AU, Riaz MB., Saeed ST, Jarad F, Jasim H N., Enver A. An Exact and Comparative Analysis of MHD Free Convection Flow of Water-Based Nanoparticles via CF Derivative, Mathematical Problems in Engineering. 2022. https://doi.org/10.1155/2022/9977188. Search in Google Scholar

Riaz MB, Rehman AU, Awrejcewicz J. Double Diffusive Magneto-Free-Convection Flow of a Maxwell Fluid Over a Vertical Plate: Special Functions Based Analysis using Local and Non-Local Kernels to Heat and Mass Flux subject to Exponential Heating, Fractals. 2022; 30(5). https://doi.org/10.1142/S0218348X22401570. Search in Google Scholar

Rehman AU, Riaz MB, Atangana A. Time fractional analysis of Casson fluid with Rabotnov exponential memory based on the generalized Fourier and Fick... s law, Scientific African. 2022;17: e01385, https://doi.org/10.1016/j.sciaf.2022.e01385. Search in Google Scholar

Kumar S, Kumar A, Samet B, Dutta H. A study on fractional host– parasitoid population dynamical model to describe insect species. Numerical Methods for Partial Differential Equations. 2021; 37(2): 1673-692. https://doi.org/10.1002/num.22603. Search in Google Scholar

Anwar MS, Irfan M, Hussain M, Muhammad T, Hussain Z. Heat Transfer in a Fractional Nanofluid Flow through a Permeable Medium, Mathematical Problems in Engineering.2022. https://doi.org/10.1155/2022/3390478 Search in Google Scholar

Anwar T, Kumam P, Watthayu W. Unsteady MHD natural convection flow of Casson fluid incorporating thermal radiative flux and heat injection/suction mechanism under variable wall conditions. Sci Rep. 2021;11: 4275. https://doi.org/10.1038/s41598-021-83691-2. Search in Google Scholar

Khalid A, Khan I, Khan A, Shafie S. Unsteady MHD free convection flow of Casson fluid past over an oscillating vertical plate embedded in a porous medium. Eng. Sci. Technol. Int. J. 2015;18(3):309-317 Search in Google Scholar

Mustafa M, Khan JA. Model for flow of Casson nanofluid past a nonlinearly stretching sheet considering magnetic field effects. AIP Adv. 2015;5(7): 077148. Search in Google Scholar

Yang XJ, Abdel-Aty M, Cattani C. A new general fractional order derivative with Rabotnov fractional exponential kernel applied to model the anomalous heat.Thermal Science. 2019; 23(3A): 1677-1681. Search in Google Scholar