Выходит 12 номеров в год
ISSN Печать: 1091-028X
ISSN Онлайн: 1934-0508
Indexed in
Partial Slip Effects on the Oscillatory Flows of a Fractional Jeffrey Fluid in a Porous Medium
Краткое описание
The exact analytical solutions are obtained for three basic fluid flow problems in a porous medium when the no-slip condition is no longer valid. The fractional calculus approach is used to describe the constitutive model of a magnetohydrodynamic fractional Jeffrey fluid. The porous medium is taken into account using modified Darcy 's law for fractional viscoelastic fluid. The effects of Hall current are also taken into account. A parametric study of some physical parameters involved in the problem is performed to illustrate the influence of these parameters on the velocity profiles. In each case, the analytical solutions are obtained using Fourier transform for fractional calculus. The solutions for the no-slip condition are special cases of the presented analysis. The critical assessment is made for the cases of partial slip and no-slip conditions. Moreover, the well-known solutions for a Newtonian fluid in nonporous and porous media are limiting cases of our solutions.
-
Heibig Arnaud, Palade Liviu Iulian, On the rest state stability of an objective fractional derivative viscoelastic fluid model, Journal of Mathematical Physics, 49, 4, 2008. Crossref
-
Khan Masood, Wang Shaowei, Flow of a generalized second-grade fluid between two side walls perpendicular to a plate with a fractional derivative model, Nonlinear Analysis: Real World Applications, 10, 1, 2009. Crossref
-
Jamil Muhammad, Khan Najeeb Alam, Slip Effects on Fractional Viscoelastic Fluids, International Journal of Differential Equations, 2011, 2011. Crossref
-
Srinivas S., Muthuraj R., MHD FLOW WITH SLIP EFFECTS AND TEMPERATURE-DEPENDENT HEAT SOURCE IN A VERTICAL WAVY POROUS SPACE, Chemical Engineering Communications, 197, 11, 2010. Crossref
-
Nazar M., Mahmood A., Athar M., Kamran M., ANALYTIC SOLUTIONS FOR THE UNSTEADY LONGITUDINAL FLOW OF AN OLDROYD-B FLUID WITH FRACTIONAL MODEL, Chemical Engineering Communications, 199, 2, 2012. Crossref
-
Khan Masood, The Rayleigh–Stokes problem for an edge in a viscoelastic fluid with a fractional derivative model, Nonlinear Analysis: Real World Applications, 10, 5, 2009. Crossref
-
Tripathi Dharmendra, Numerical study on peristaltic flow of generalized burgers' fluids in uniform tubes in the presence of an endoscope, International Journal for Numerical Methods in Biomedical Engineering, 27, 11, 2011. Crossref
-
Fetecau Corina, Athar M., Fetecau C., Unsteady flow of a generalized Maxwell fluid with fractional derivative due to a constantly accelerating plate, Computers & Mathematics with Applications, 57, 4, 2009. Crossref
-
Mahmoud Mostafa A.A., Waheed Shimaa E., MHD flow and heat transfer of a micropolar fluid over a stretching surface with heat generation (absorption) and slip velocity, Journal of the Egyptian Mathematical Society, 20, 1, 2012. Crossref
-
Athar M., Awan A.U., Fetecau Corina, Rana Mehwish, Unsteady flow of a Maxwell fluid with fractional derivatives in a circular cylinder moving with a nonlinear velocity, Quaestiones Mathematicae, 37, 1, 2014. Crossref
-
Kang Jianhong, Liu Yingke, Xia Tongqiang, Unsteady Flows of a Generalized Fractional Burgers’ Fluid between Two Side Walls Perpendicular to a Plate, Advances in Mathematical Physics, 2015, 2015. Crossref
-
Zin Nor Athirah Mohd, Khan Ilyas, Shafie Sharidan, Thermal radiation in unsteady MHD free convection flow of Jeffrey fluid with ramped wall temperature, 1750, 2016. Crossref
-
Mohd Zin Nor Athirah, Khan Ilyas, Shafie Sharidan, The impact silver nanoparticles on MHD free convection flow of Jeffrey fluid over an oscillating vertical plate embedded in a porous medium, Journal of Molecular Liquids, 222, 2016. Crossref
-
Mohd Zin Nor Athirah, Khan Ilyas, Shafie Sharidan, Influence of Thermal Radiation on Unsteady MHD Free Convection Flow of Jeffrey Fluid over a Vertical Plate with Ramped Wall Temperature, Mathematical Problems in Engineering, 2016, 2016. Crossref
-
Mohd Zin Nor Athirah, Khan Ilyas, Shafie Sharidan, Alshomrani Ali Saleh, Analysis of heat transfer for unsteady MHD free convection flow of rotating Jeffrey nanofluid saturated in a porous medium, Results in Physics, 7, 2017. Crossref
-
Jiang Yuting, Qi Haitao, Xu Huanying, Jiang Xiaoyun, Transient electroosmotic slip flow of fractional Oldroyd-B fluids, Microfluidics and Nanofluidics, 21, 1, 2017. Crossref
-
Ramzan M., Gul Hina, Dong Chung Jae, Double stratified radiative Jeffery magneto nanofluid flow along an inclined stretched cylinder with chemical reaction and slip condition, The European Physical Journal Plus, 132, 11, 2017. Crossref
-
Maqbool K., Mann A.B., Tiwana M.H., Unsteady MHD convective flow of a Jeffery fluid embedded in a porous medium with ramped wall velocity and temperature, Alexandria Engineering Journal, 57, 2, 2018. Crossref
-
Khan Amir, Zaman Gul, Algahtani Obaid, Unsteady Magnetohydrodynamic Flow of Jeffrey Fluid through a Porous Oscillating Rectangular Duct, in Porosity - Process, Technologies and Applications, 2018. Crossref
-
Abro Kashif Ali, Memon Anwer Ahmed, Abro Shahid Hussain, Khan Ilyas, Tlili I., Enhancement of heat transfer rate of solar energy via rotating Jeffrey nanofluids using Caputo–Fabrizio fractional operator: An application to solar energy, Energy Reports, 5, 2019. Crossref
-
Tiwana Mazhar Hussain, Mann Amer Bilal, Rizwan Muhammad, Maqbool Khadija, Javeed Shumaila, Raza Saqlain, Khan Mansoor Shaukat, Unsteady Magnetohydrodynamic Convective Fluid Flow of Oldroyd-B Model Considering Ramped Wall Temperature and Ramped Wall Velocity, Mathematics, 7, 8, 2019. Crossref
-
Jamil Muhammad, Effects of slip on oscillating fractionalized Maxwell fluid, Nonlinear Engineering, 5, 1, 2016. Crossref
-
Anwar Talha, Kumam Poom, Asifa , Khan Ilyas, Thounthong Phatiphat, Generalized Unsteady MHD Natural Convective Flow of Jeffery Model with ramped wall velocity and Newtonian heating; A Caputo-Fabrizio Approach, Chinese Journal of Physics, 68, 2020. Crossref
-
Aziz-Ur-Rehman , Riaz Muhammad Bilal, Awrejcewicz Jan, Baleanu Dumitru, Exact solutions for thermomagetized unsteady non-singularized jeffrey fluid: Effects of ramped velocity, concentration with newtonian heating, Results in Physics, 26, 2021. Crossref
-
Asgir Maryam, Zafar A. A., Alsharif Abdullah M., Riaz Muhammad Bilal, Abbas Muhammad, Special function form exact solutions for Jeffery fluid: an application of power law kernel, Advances in Difference Equations, 2021, 1, 2021. Crossref
-
Krishna M. Veera, Hall and ion slip effects on radiative MHD rotating flow of Jeffreys fluid past an infinite vertical flat porous surface with ramped wall velocity and temperature, International Communications in Heat and Mass Transfer, 126, 2021. Crossref
-
Khan M., Hyder Ali S., Fetecau C., Qi Haitao, Decay of potential vortex for a viscoelastic fluid with fractional Maxwell model, Applied Mathematical Modelling, 33, 5, 2009. Crossref
-
Fetecau Constantin, Fetecau Corina, Kamran M., Vieru D., Exact solutions for the flow of a generalized Oldroyd-B fluid induced by a constantly accelerating plate between two side walls perpendicular to the plate, Journal of Non-Newtonian Fluid Mechanics, 156, 3, 2009. Crossref
-
Vieru D., Fetecau Corina, Fetecau C., Flow of a viscoelastic fluid with the fractional Maxwell model between two side walls perpendicular to a plate, Applied Mathematics and Computation, 200, 1, 2008. Crossref
-
Vieru D., Fetecau Corina, Fetecau C., Flow of a generalized Oldroyd-B fluid due to a constantly accelerating plate, Applied Mathematics and Computation, 201, 1-2, 2008. Crossref
-
Bajwa Sana, Ullah Saif, Al-Johani Amnah S., Khan Ilyas, Andualem Mulugeta, Peng Zhengbiao, Effects of MHD and Porosity on Jeffrey Fluid Flow with Wall Transpiration, Mathematical Problems in Engineering, 2022, 2022. Crossref
-
Nagaraja B., Gireesha B. J., Soumya D. O., Almeida Felicita, Characterization of MHD convective flow of Jeffrey nanofluid driven by a curved stretching surface by employing Darcy–Forchheimer law of porosity, Waves in Random and Complex Media, 2022. Crossref