EFFECT OF JOULE HEATING ON STEADY MHD CONVECTIVE MICROPOLAR FLUID FLOW OVER A STRETCHING/SHRINKING SHEET WITH SLIP

被引:4
作者
Baitharu, A. P. [1 ]
Sahoo, S. N. [2 ]
Dash, G. C. [2 ]
机构
[1] Coll Engn & Technol, Dept Math, Bhubaneswar 751029, Odisha, India
[2] Siksha O Anusandhan Deemed Univ, ITER, Dept Math, Bhubaneswar 751030, Odisha, India
来源
JOURNAL OF NAVAL ARCHITECTURE AND MARINE ENGINEERING | 2021年 / 18卷 / 02期
关键词
MHD flow; micropolar fluid; Joule heating; Newtonian heating; slip flow; STAGNATION-POINT FLOW; BOUNDARY-LAYER-FLOW; MASS-TRANSFER; CHEMICAL-REACTION; THERMAL-RADIATION; 2ND-ORDER SLIP; PLATE;
D O I
10.3329/jname.v18i2.55253
中图分类号
U6 [水路运输]; P75 [海洋工程];
学科分类号
0814 ; 081505 ; 0824 ; 082401 ;
摘要
The effect of Joule heating on the steady two-dimensional flow of an incompressible micropolar fluid over a flat deformable sheet is analyzed when the sheet is stretched with a slip in its own plane. The effects of first and second-order slips with dissipative heat energy are considered in the present study. The numerical solution to coupled non-linear differential equations is obtained using the Runge-Kutta method of fourth-order with shooting technique. The important findings of the present study are due to the shrinking effect, temperature increases more than that of stretching which is analogous to contraction and expansion forming the basis of a heat engine (transporting thermal energy to mechanical energy); the thermal buoyancy overpowers the inertia force; the second-order slip is favorable for flow stability in both stretching and shrinking of the deformable surface.
引用
收藏
页码:175 / 186
页数:12
相关论文
共 29 条
[1]  
Animasaun I.L., 2017, J EGYP MATH SOC, V25, P79, DOI DOI 10.1016/j.joems.2016.06.007
[2]  
[Anonymous], 2013, MATH PROBLEMS ENG, DOI DOI 10.1155/2013/257161
[3]   Micropolar fluid flow and heat transfer over an exponentially permeable shrinking sheet [J].
Aurangzaib ;
Uddin, Md. Sharif ;
Bhattacharyya, Krishnendu ;
Shafie, Sharidan .
PROPULSION AND POWER RESEARCH, 2016, 5 (04) :310-317
[4]   HEAT AND MASS TRANSFER EFFECT ON A RADIATIVE SECOND GRADE MHD FLOW IN A POROUS MEDIUM OVER A STRETCHING SHEET [J].
Baitharu, A. P. ;
Sahoo, S. N. ;
Dash, G. C. .
JOURNAL OF NAVAL ARCHITECTURE AND MARINE ENGINEERING, 2020, 17 (01) :51-66
[5]   Effects of chemical reaction on MHD free convection and mass transfer flow of a micropolar fluid with oscillatory plate velocity and constant heat source in a rotating frame of reference [J].
Bakr, A. A. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (02) :698-710
[6]   BOUNDARY CONDITIONS AT A NATURALLY PERMEABLE WALL [J].
BEAVERS, GS ;
JOSEPH, DD .
JOURNAL OF FLUID MECHANICS, 1967, 30 :197-&
[8]   Chemical reaction and Newtonian heating effects on steady convection flow of a micropolar fluid with second order slip at the boundary [J].
Kamran, M. ;
Wiwatanapataphee, Benchawan .
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2018, 71 :138-150
[9]   Heat source/sink and Newtonian heating effects on convective micropolar fluid flow over a stretching/shrinking sheet with slip flow model [J].
Kamran, Muhammad .
INTERNATIONAL JOURNAL OF HEAT AND TECHNOLOGY, 2018, 36 (02) :473-482
[10]   A novel formulation of 3D Jeffery fluid flow near an irregular permeable surface having chemical reactive species [J].
Khan, Mumtaz ;
Rasheed, Amer ;
Ali, Shafqat ;
Azim, Qurat-ul-Ain .
ADVANCES IN MECHANICAL ENGINEERING, 2021, 13 (05)