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UNSTEADY MHD FLOW OF SECOND-GRADE FLUID OVER AN OSCILLATING VERTICAL PLATE WITH ISOTHERMAL TEMPERATURE IN A POROUS MEDIUM WITH HEAT AND MASS TRANSFER BY USING THE LAPLACE TRANSFORM TECHNIQUE

Volume 20, Issue 8, 2017, pp. 671-690
DOI: 10.1615/JPorMedia.v20.i8.10
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ABSTRACT

A problem describing the oscillating flow of an incompressible magnetohydrodynamic second-grade fluid in a porous medium with combined effect of heat and mass transfer in the presence of radiation is investigated. Exact solutions for cosine oscillations are obtained via the Laplace transform method. The obtained starting solutions are explicitly expressed as the sum of steady state and transient solutions. It is shown that previous results for a nonporous medium and hydrodynamic fluid are the limiting cases of the present problem. The effects of different parameters for velocity are plotted and discussed physically.

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  2. Endalew Mehari Fentahun, Sarkar Subharthi, Temporal analysis of dual phase-lag double-diffusive MHD flow within a porous microchannel with chemical reaction, Heat Transfer-Asian Research, 48, 4, 2019. Crossref

  3. Ali Farhad, Bilal Muhammad, Sheikh Nadeem Ahmad, Khan Ilyas, Nisar Kottakkaran Sooppy, Two-Phase Fluctuating Flow of Dusty Viscoelastic Fluid Between Non-Conducting Rigid Plates With Heat Transfer, IEEE Access, 7, 2019. Crossref

  4. Sheikh Nadeem Ahmad, Chuan Ching Dennis Ling, Khan Ilyas, A Comprehensive Review on Theoretical Aspects of Nanofluids: Exact Solutions and Analysis, Symmetry, 12, 5, 2020. Crossref

  5. Sheikh Nadeem Ahmad, Chuan Ching Dennis Ling, Khan Ilyas, Sakidin Hamzah bin, Tsai Sang-Bing, Generalization of the Convective Flow of Brinkman-Type Fluid Using Fourier’s and Fick’s Laws: Exact Solutions and Entropy Generation, Mathematical Problems in Engineering, 2020, 2020. Crossref

  6. Mehta Rahul P., Kataria Hari R., Influence of Magnetic Field, Thermal Radiation and Brownian Motion on Water-Based Composite Nanofluid Flow Passing Through a Porous Medium, International Journal of Applied and Computational Mathematics, 7, 1, 2021. Crossref

  7. Ali Farhad, Khan Momin, Gohar Madeha, Yan Zhiguo, Magnetohydrodynamic Fluctuating Free Convection Flow of Second-Grade Fluid Flow in a Porous Medium, Mathematical Problems in Engineering, 2021, 2021. Crossref

  8. Xia Wei-Feng, Animasaun I.L., Wakif Abderrahim, Shah Nehad Ali, Yook Se-Jin, Gear-generalized differential quadrature analysis of oscillatory convective Taylor-Couette flows of second-grade fluids subject to Lorentz and Darcy-Forchheimer quadratic drag forces, International Communications in Heat and Mass Transfer, 126, 2021. Crossref

  9. Khan Zahid, ul Haq Sami, Ali Farhad, Andualem Mulugeta, Free convection flow of second grade dusty fluid between two parallel plates using Fick’s and Fourier’s laws: a fractional model, Scientific Reports, 12, 1, 2022. Crossref

  10. Khan Dolat, Kumam Poom, Khan Ilyas, Sitthithakerngkiet Kanokwan, Khan Arshad, Ali Gohar, Unsteady rotating MHD flow of a second‐grade hybrid nanofluid in a porous medium: Laplace and Sumudu transforms, Heat Transfer, 51, 8, 2022. Crossref

  11. Kanimozhi Natesan, Vijayaragavan Rajaram, Shanmugam Karthikeyan, Impacts of thermal radiation, viscous dissipation, ohmic heating, and diffusion‐thermo effects on unsteady MHD free convective rotating flow of second‐grade fluid with Hall and ion‐slip currents, Heat Transfer, 51, 8, 2022. Crossref

  12. Khan Zahid, Ali Farhad, Haq Sami Ul, Khan Ilyas, A time fractional second-grade magnetohydrodynamic dusty fluid flow model with variable conditions: Application of Fick’s and Fourier’s laws, Frontiers in Physics, 10, 2022. Crossref

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