Numerical solution of MHD Casson fluid flow with variable properties across an inclined porous stretching sheet

被引:9
作者
Reddy, K. Veera [1 ]
Reddy, G. Venkata Ramana [2 ]
Akgul, Ali [3 ,4 ]
Jarrar, Rabab [4 ]
Shanak, Hussein [5 ]
Asad, Jihad [5 ]
机构
[1] Madhira Inst Technol & Sci MITS, Dept Math, Paleannaram, Telangana, India
[2] Koneru Lakshmaiah Educ Fdn, Dept Engn Math, Vaddeswaram, India
[3] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkey
[4] Near East Univ, Math Res Ctr, Dept Math, Near East Blvd,Mersin 10, TR-99138 Nicosia, Turkey
[5] Palestine Tech Univ Kadoorie, Fac Appl Sci, Dept Phys, P-305 Tulkarm, Palestine
来源
AIMS MATHEMATICS | 2022年 / 7卷 / 12期
关键词
MHD; porous medium; PDE; casson fluid; thermal radiation; chemical reaction; HEAT-TRANSFER; MASS-TRANSFER; RADIATION; NANOFLUID; PLATE;
D O I
10.3934/math.20221124
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The dynamics of Casson nanofluid with chemically reactive and thermally conducting medium past an elongated sheet was investigated in this work. Partial differential equations were used in the flow model (PDEs). The governing equations can be converted into system of ordinary differential equations. Using the R-K method and shooting techniques, the altered equations were numerically resolved. The impact of relevant flow factors was depicted using graphs while computations on engineering quantities of interest are tabulated. The velocity profiles were observed to degrade when the visco-inelastic parameter (Casson) and magnetic parameter (M) were set to a higher value. An increase in magnetic specification's value has been observed to decrease the distribution of velocity. A huge M value originates the Lorentz force which can degenerate the motion of an electrically conducting fluids. Physically, the multiplication of electrical conductivity and magnetic force's magnitude possess electromagnetic force which drag back the fluid motion. As a result, as Gm rises, the mass buoyancy force rises, causing the velocity distribution to widen. The contributions of variable thermal conductivity and variable diffusion coefficient on temperature and concentration contours respectively have been illustrated. The boundary layer distributions degenerate as the unsteadiness parameter (A) is increased. The outcomes of this agrees with previous outcomes.
引用
收藏
页码:20524 / 20542
页数:19
相关论文
共 32 条
[1]  
Alghamdi A. M., 2020, NOVI SAD J MATH, V50, P89, DOI [10.30755/NSJOM.09142, DOI 10.30755/NSJOM.09142]
[2]  
Awais M, 2021, ALEX ENG J, V60, P1355, DOI [10.1016/j.aej.2020.10.056, 10.1016/j.aej.10.056]
[3]   Impact of thermophoresis on nanoparticle distribution in nanofluids [J].
Bahiraei, Mehdi .
RESULTS IN PHYSICS, 2017, 7 :136-138
[4]  
Bhattacharyya K., 2013, J THERMODYN, V2013, DOI [10.1155/2013/169674, DOI 10.1155/2013/169674]
[5]   Flow and heat transfer behaviour of nanofluids in microchannels [J].
Bowers, James ;
Cao, Hui ;
Qiao, Geng ;
Li, Qi ;
Zhang, Gan ;
Mura, Ernesto ;
Ding, Yulong .
PROGRESS IN NATURAL SCIENCE-MATERIALS INTERNATIONAL, 2018, 28 (02) :225-234
[6]   SIMILARITY SOLUTION FOR UNSTEADY HEAT AND MASS TRANSFER FROM A STRETCHING SURFACE EMBEDDED IN A POROUS MEDIUM WITH SUCTION/INJECTION AND CHEMICAL REACTION EFFECTS [J].
Chamkha, A. J. ;
Aly, A. M. ;
Mansour, M. A. .
CHEMICAL ENGINEERING COMMUNICATIONS, 2010, 197 (06) :846-858
[7]   Soret-Dufour mechanism on an electrically conducting nanofluid flow past a semi-infinite porous plate with buoyancy force and chemical reaction influence [J].
Falodun, Bidemi O. ;
Ayegbusi, Florence D. .
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 37 (02) :1419-1438
[8]   Variable thermal conductivity and viscosity effects on non -Newtonian fluids flow through a vertical porous plate under Soret-Dufour influence [J].
Idowu, A. S. ;
Falodun, B. O. .
MATHEMATICS AND COMPUTERS IN SIMULATION, 2020, 177 :358-384
[9]   Investigating the effect of various nanoparticle and base liquid types on the nanofluids heat and fluid flow in a microchannel [J].
Kalteh, Mohammad .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (18-19) :8600-8609
[10]   Radiation and chemical reaction effects on MHD Casson fluid flow past an oscillating vertical plate embedded in porous medium [J].
Kataria, Hari R. ;
Patel, Harshad R. .
ALEXANDRIA ENGINEERING JOURNAL, 2016, 55 (01) :583-595