Engine oil based generalized brinkman-type nano-liquid with molybdenum disulphide nanoparticles of spherical shape: Atangana-Baleanu fractional model

被引:47
作者
Jan, Syed Aftab Alam [1 ,2 ,3 ]
Ali, Farhad [1 ,2 ,3 ]
Sheikh, Nadeem Ahmad [1 ,2 ,3 ]
Khan, Ilyas [4 ]
Saqib, Muhammad [1 ,2 ,3 ]
Gohar, Madeha [1 ,2 ,3 ]
机构
[1] Ton Duc Thang Univ, Computat Anal Res Grp, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
[3] City Univ Sci & Informat Technol, Dept Math, Peshawar, Khyber Pakhtunk, Pakistan
[4] Majmaah Univ, Basic Engn Sci Dept, Coll Engn, Majmaah 11952, Saudi Arabia
关键词
Brinkman-type nano-liquid; MoS2; nanoparticles; Atangana-Baleanu fractional derivatives; FREE-CONVECTION FLOW; THERMAL-CONDUCTIVITY; NATURAL-CONVECTION; PARALLEL PLATES; NANOFLUID FLOW; VERTICAL PLATE; SQUEEZING FLOW; MAXWELL MODEL; TEMPERATURE; RADIATION;
D O I
10.1002/num.22200
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The impact of magnetic field on Engine Oil based generalized Brinkman-type nanofluid over an oscillating vertical plate embedded in a porous medium is studied. Molybdenum Disulphide (MoS2) nanoparticles of spherical shape are suspended in Engine Oil, taken as conventional base fluid. Effect of thermal radiation in energy equation is also considered. A generalized model of Brinkman-type fluid is considered with newly introduced fractional derivatives known as Atangana-Baleanu Derivative (ABD) in the presence of heat transfer due to convection. Exact solution of the problem is determined by means of the Laplace transform. Expressions for velocity and temperature are obtained in terms of Mittag-Leffler and General Wright function. The effects of various pertinent parameters on velocity are portrayed and discussed graphically. Numerical results of rate of heat transfer are computed in tabular form. Which showed that increasing values of volume fraction and Prandtl number increase rate of heat transfer.
引用
收藏
页码:1472 / 1488
页数:17
相关论文
共 47 条
  • [1] Shape effects of nanoparticles on the squeezed flow between two Riga plates in the presence of thermal radiation
    Ahmed, Naveed
    Adnan
    Khan, Umar
    Mohyud-Din, Syed Tauseef
    Waheed, Asif
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (07):
  • [2] MHD nanofluid flow through a deformable asymmetric porous channel
    Ahmed, Naveed
    Khan, Umar
    Mohyud-din, Syed Tauseef
    [J]. ENGINEERING COMPUTATIONS, 2017, 34 (03) : 852 - 868
  • [3] Influence of an effective Prandtl number model on squeezed flow of γAl2O3-H2O and γAL2O3-C2H6O2 nanofluids
    Ahmed, Naveed
    Adnan
    Khan, Umar
    Mohyud-Din, Syed Tauseef
    [J]. JOURNAL OF MOLECULAR LIQUIDS, 2017, 238 : 447 - 454
  • [4] Influence of thermal radiation and viscous dissipation on squeezed flow of water between Riga plates saturated with carbon nanotubes
    Ahmed, Naveed
    Adnan
    Khan, Umar
    Mohyud-Din, Syed Tauseef
    [J]. COLLOIDS AND SURFACES A-PHYSICOCHEMICAL AND ENGINEERING ASPECTS, 2017, 522 : 389 - 398
  • [5] Flows between two parallel plates of couple stress fluids with time-fractional Caputo and Caputo-Fabrizio derivatives
    Akhtar, Shehraz
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2016, 131 (11):
  • [6] Ali F., 2013, MATH PROB ENG, P1
  • [7] MHD flow of water-based Brinkman type nanofluid over a vertical plate embedded in a porous medium with variable surface velocity, temperature and concentration
    Ali, Farhad
    Gohar, Madeha
    Khan, Ilyas
    [J]. JOURNAL OF MOLECULAR LIQUIDS, 2016, 223 : 412 - 419
  • [8] Application of Caputo-Fabrizio derivatives to MHD free convection flow of generalized Walters'-B fluid model
    Ali, Farhad
    Saqib, Muhammad
    Khan, Ilyas
    Sheikh, Nadeem Ahmad
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2016, 131 (10):
  • [9] Solutions with special functions for time fractional free convection flow of Brinkman-type fluid
    Ali, Farhad
    Jan, Syed Aftab Alam
    Khan, Ilyas
    Gohar, Madeha
    Sheikh, Nadeem Ahmad
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2016, 131 (09):
  • [10] A Note on New Exact Solutions for Some Unsteady Flows of Brinkman-Type Fluids over a Plane Wall
    Ali, Farhad
    Khan, Ilyas
    Samiulhaq
    Shafie, Sharidan
    [J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2012, 67 (6-7): : 377 - 380