Natural convection of bio-nanofluid between two vertical parallel plates with damped shear and thermal flux

被引:15
作者
Shah, Nehad Ali [1 ]
Seikh, Asiful H. [2 ]
Tlili, Iskander [3 ,4 ]
Shah, Khadim [5 ]
Shabbir, Rana Muhammad [1 ]
Rahimi-Gorji, Mohammad [6 ]
Alharthi, Nabeel [7 ]
机构
[1] Lahore Leads Univ, Dept Math, Lahore, Pakistan
[2] King Saud Univ, Ctr Excellence Res Engn Mat, Riyadh, Saudi Arabia
[3] Ton Duc Thang Univ, Dept Management Sci & Technol Dev, Ho Chi Minh City, Vietnam
[4] Ton Duc Thang Univ, Fac Appl Sci, Ho Chi Minh City, Vietnam
[5] Govt Coll Peshawar, Dept Zol, Kpk, Pakistan
[6] Univ Ghent, Fac Med & Hlth Sci, B-9000 Ghent, Belgium
[7] King Saud Univ, Coll Engn, Mech Engn Dept, Riyadh, Saudi Arabia
关键词
Natural convection; Bio-nanofluid; Generalized fourier law; Caputo time-fractional derivative; MASS-TRANSFER; HEAT; FLOW;
D O I
10.1016/j.molliq.2019.111575
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
In this article, we studied the nature (free) convection flow of bio-nanofluid between two vertical plates. We developed a fractional model in which the classical constitutive equations are generalized by using the constitutive shear stress equation and the generalized Fourier's law. The solutions of fractional differential equations are found by means of integral transforms (Laplace and sine-Fourier transforms). Solutions are expressed in terms of generalized G-function of Lorenzo and Hartley and Mittag-Leffler function. We compare our results with numerical methods. The effects of fractional and physical parameters are graphically discussed. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页数:12
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