APPLICATION OF ATANGANA-BALEANU FRACTIONAL DERIVATIVE TO CONVECTION FLOW OF MHD MAXWELL FLUID IN A POROUS MEDIUM OVER A VERTICAL PLATE

被引：69

作者：

Abro, K. A. ^{[1
]}

Khan, I ^{[2
]}

Tassaddiq, A. ^{[3
]}

机构：

[1] Mehran Univ Engn Technol, Dept Basic Sci & Related Studies, Jamshoro, Pakistan

[2] Majmaah Univ, Coll Engn, Basic Engn Sci Dept, Majmaah 11952, Saudi Arabia

[3] Majmaah Univ, Coll Comp & Informat Sci, Majmaah 11952, Saudi Arabia

来源：

MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2018年 / 13卷 / 01期

关键词：

Atangana-Baleanu fractional derivatives; Maxwell model; Fox-H function; exact solutions; HEAT-TRANSFER ANALYSIS; 2ND-GRADE FLUID; VISCOUS DISSIPATION; STRETCHING SHEET; MAGNETIC-FIELD; UNSTEADY-FLOW; SQUEEZED FLOW; NANOFLUID; WALL; IMPACTS;

D O I：

10.1051/mmnp/2018007

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Atangana-Baleanu fractional derivative has been applied to study heat transfer problem of magnetohydrodynamic (MHD) Maxwell fluid over a vertical plate embedded in a porous medium. The analytical solutions have been obtained for temperature distribution and velocity field by employing Laplace transforms technique for both sine and cosine oscillations of the plate. The general solutions have been expressed in terms of Fox-H function satisfying imposed conditions. The results are plotted graphically and discussed for embedded parameters such as magnetic field, Maxwell parameter, porous medium, Prandtl number and fractional parameter.

引用

页数：12

共 49 条

[1]

Abro K. A., 2016, Sindh University Research Journal -Science Series, V48, P605

[2]

Abro K.A., 2016, J APPL ENVIRON BIOL, V6, P84

[3]

Abro KA, 2017, PUNJAB UNIV J MATH, V49, P113

[4]

Abro KA, 2017, INT J ADV APPL SCI, V4, P80, DOI 10.21833/ijaas.2017.07.012

[5] Analysis of the heat and mass transfer in the MHD flow of a generalized Casson fluid in a porous space via non-integer order derivatives without a singular kernel [J].

Abro, Kashif Ali ;

Khan, Ilyas .

CHINESE JOURNAL OF PHYSICS, 2017, 55 (04) :1583-1595

[6] Influence of thermal and concentration gradients on unsteady flow over a stretchable surface [J].

Ahmed, Naveed ;

Adnan ;

Khan, Umar ;

Mohyud-Din, Syed Tauseef ;

Erturk, Vedat Suat .

RESULTS IN PHYSICS, 2017, 7 :3153-3162

[7] Unsteady radiative flow of chemically reacting fluid over a convectively heated stretchable surface with cross-diffusion gradients [J].

Ahmed, Naveed ;

Adnan ;

Khan, Umar ;

Mohyud-Din, Syed Tauseef .

INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2017, 121 :182-191

[8] Influence of an effective Prandtl number model on squeezed flow of γAl2O3-H2O and γAL2O3-C2H6O2 nanofluids [J].

Ahmed, Naveed ;

Adnan ;

Khan, Umar ;

Mohyud-Din, Syed Tauseef .

JOURNAL OF MOLECULAR LIQUIDS, 2017, 238 :447-454

[9] Influence of thermal radiation and viscous dissipation on squeezed flow of water between Riga plates saturated with carbon nanotubes [J].

Ahmed, Naveed ;

Adnan ;

Khan, Umar ;

Mohyud-Din, Syed Tauseef .

COLLOIDS AND SURFACES A-PHYSICOCHEMICAL AND ENGINEERING ASPECTS, 2017, 522 :389-398

[10] Solutions with Wright Function for Time Fractional Free Convection Flow of Casson Fluid [J].

Ali, Farhad ;

Sheikh, Nadeem Ahmad ;

Khan, Ilyas ;

Saqib, Muhammad .

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2017, 42 (06) :2565-2572

← 1 2 3 4 5 →