Transient MHD flow of fractional Burger's fluid model through a parallel microchannel with heat transfer and slip boundary condition

被引:1
作者
Ali, Musa [1 ]
Abdullahi, Isah [2 ]
Yakubu, D. Gulibur [2 ]
Adamu, Garba T. [3 ]
Abdulhameed, Mohammed [4 ]
Baba, Ali M. [2 ]
机构
[1] Yobe State Univ, Dept Math & Stat, Damaturu, Nigeria
[2] Abubakar Tafawa Balewa Univ, Dept Math Sci, Bauchi, Nigeria
[3] Bauchi State Univ, Dept Math Sci, Bauchi, Nigeria
[4] Fed Polytech Bauchi, Sch Sci & Technol, Bauchi, Nigeria
关键词
Burger's fluid flow; fractional derivative; heat transfer; microchannel; transient electro-osmotic flow; ELECTROOSMOTIC FLOW; MAXWELL FLUIDS; NANOFLUID;
D O I
10.1177/09544089221146853
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The combined influence of magnetic field, electro-osmotic flow (EOF), and pressure gradient on the unsteady magnetohydrodynamic fluid flow through a parallel microchannel is investigated. The Burger's liquid model is used for the fractional partial differential equation, which allows us to study the behavior of viscoelastic liquid velocity profile in the parallel microchannel. The Laplace transform (LT) in concert with the Fourier cosine transform are used to obtain the analytical solution of the velocity profile. Furthermore, using the method of separation of variables, the energy equation, Joule heating, energy dissipation, and electromagnetic effects are calculated to obtain the temperature within the microchannel. The influence of some relevant parameters like heat transfer, temperature distribution, Hartmann number (Ha), and Brinkman number (Br) on fluid flow velocity are presented graphically and discussed. The results obtained show that temperature decreases with Ha and Br of the transverse electric field for slip flow. Close to the middle of the microchannel, fluid flow velocity increases with decrease in the delay time parameter value and increase in the Burger's parameter value, while the opposite trend is found for the velocity near to the middle of the microchannel. In addition, Burger's liquid is quite general, such that Oldroyd-B, Maxwell, and Newtonian liquids are readily obtained as limiting cases. The study is significant in the application fields of chemical analysis and biological analysis, drug delivery, bacteria detection, and some others.
引用
收藏
页码:774 / 787
页数:14
相关论文
共 35 条
[1]  
Abdulhameed Mohammed, 2021, Defect and Diffusion Forum, V409, P67, DOI [10.4028/www.scientific.net/ddf.409.67, 10.4028/www.scientific.net/DDF.409.67]
[2]   Modeling electro-osmotic flow and thermal transport of Caputo fractional Burgers fluid through a micro-channel [J].
Abdulhameed, Mohammed ;
Tahiru Adamu, Garba ;
Dauda, Gulibur Yakubu .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART E-JOURNAL OF PROCESS MECHANICAL ENGINEERING, 2021, 235 (06) :2254-2270
[3]  
Adamu GT., 2020, J ENG FLUID FLOWS HE, V26, P39
[4]   Heat and Mass Transfer on Unsteady Magnetohydrodynamics (MHD) Convective Flow of Casson Hybrid Nanofluid Over a Permeable Media with Ramped Wall Temperature [J].
Babu, B. Hari ;
Rao, P. Srinivasa ;
Varma, S. V. K. .
JOURNAL OF NANOFLUIDS, 2021, 11 (04) :552-562
[5]   RETRACTED: Modeling of cattaneo-christov heat and mass flux on non-newtonian hydromagnetic fluid with variable thermal and solutal properties (Retracted Article) [J].
Babu, B. Hari ;
Rao, P. Srinivasa ;
Reddy, M. Gnaneswara ;
Varma, S. V. K. .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART E-JOURNAL OF PROCESS MECHANICAL ENGINEERING, 2023, 237 (02) :97-107
[6]   Hall and ion-slip effects on MHD free convection flow of rotating Jeffrey fluid over an infinite vertical porous surface [J].
Babu, B. Hari ;
Rao, P. Srinivasa ;
Varma, S. V. K. .
HEAT TRANSFER, 2021, 50 (02) :1776-1798
[7]  
Babu BH., 2021, J PROC MECH ENG, P235
[8]  
Babu BH., 2022, J WAVE RANDOM COMPLE, P1
[9]   Electroosmosis through a cation-exchange membrane:: Effect of an ac perturbation on the electroosmotic flow [J].
Barragán, VM ;
Bauzá, CR .
JOURNAL OF COLLOID AND INTERFACE SCIENCE, 2000, 230 (02) :359-366
[10]   Analytical solutions of Nusselt number for thermally fully developed flow in microtubes under a combined action of electroosmotic forces and imposed pressure gradients [J].
Chakraborty, S .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2006, 49 (3-4) :810-813