NEW ANALYTICAL SOLUTIONS OF HEAT TRANSFER FLOW OF CLAY-WATER BASE NANOPARTICLES WITH THE APPLICATION OF NOVEL HYBRID FRACTIONAL DERIVATIVE

被引:23
作者
Asjad, Muhammad Imran [1 ]
Ikram, Muhammad Danish [1 ]
Ali, Rizwan [1 ]
Baleanu, Dumitru [2 ,3 ,4 ]
Alshomrani, Ali S. [5 ]
机构
[1] Univ Management & Technol, Dept Math, Lahore, Pakistan
[2] Cankaya Univ, Dept Math, Ankara, Turkey
[3] Inst Space Sci, Bucharest, Romania
[4] China Med Univ Taichung, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
[5] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
来源
THERMAL SCIENCE | 2020年 / 24卷 / 01期
关键词
hybrid fractional derivative; power law kernel; Clay-nanoparticles; analytical solutions; TRANSFER ENHANCEMENT; NATURAL-CONVECTION; MAGNETIC-FIELD; NANOFLUID; BEHAVIOR; SIMULATION; TRANSPORT;
D O I
10.2298/TSCI20S1343A
中图分类号
O414.1 [热力学];
学科分类号
摘要
Clay nanoparticles are hanging in three different based fluids (water, kerosene, and engine oil). The exact terminologies of Maxwell-Garnett and Brinkman for the current thermophysical properties of clay nanofluids are used, while the flow occurrence is directed by a set linear PDE with physical initial and boundary conditions. The classical governing equations are extended to non-integer order hybrid fractional derivative which is introduced in [33]. Analytical solutions for temperature and velocity fields are attained via Laplace transform technique. Some limiting solutions are also obtained from the existing literature and compared for different values of fractional parameter. To vision the impact of several flow parameters on the temperature and velocity some graphs are drawn using Mathcad software and designed in different figures. As a result, we found that hybrid fractional model is better in describing the decay behavior of temperature and velocity in comparison of classical derivatives. In comparison of nanofluid with different base fluids, it is concluded that water-based nanofluid has higher velocity than others.
引用
收藏
页码:S343 / S350
页数:8
相关论文
共 33 条
[1]   The impact of impinging TiO2 nanoparticles in Prandtl nanofluid along with endoscopic and variable magnetic field effects on peristaltic blood flow [J].
Abdelsalam, Sara I. ;
Bhatti, Muhammad Mubashir .
MULTIDISCIPLINE MODELING IN MATERIALS AND STRUCTURES, 2018, 14 (03) :530-548
[2]   The study of non-Newtonian nanofluid with hall and ion slip effects on peristaltically induced motion in a non-uniform channel [J].
Abdelsalam, Sara I. ;
Bhatti, M. M. .
RSC ADVANCES, 2018, 8 (15) :7904-7915
[3]   Mixed convection boundary layer flow from a vertical flat plate embedded in a porous medium filled with nanofluids [J].
Ahmad, Syakila ;
Pop, Ioan .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2010, 37 (08) :987-991
[4]   Transient MHD Convective Flow of Fractional Nanofluid between Vertical Plates [J].
Ahmed, Najma ;
Shah, Nehad Ali ;
Ahmad, Bakhtiar ;
Shah, Syed Inayat Ali ;
Ulhaq, Sami ;
Rahimi-Gorji, Mohamad .
JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2019, 5 (04) :592-602
[5]   Natural convection cooling of a localised heat source at the bottom of a nanofluid-filled enclosure [J].
Aminossadati, S. M. ;
Ghasemi, B. .
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2009, 28 (05) :630-640
[6]  
Baleanu, 2020, MATHEMATICS, V8, P860
[7]  
Baleanu D., 2012, Fractional calculus: models and numerical methods, VVol. 3
[8]   H2O based different nanofluids with unsteady condition and an external magnetic field on permeable channel heat transfer [J].
Biglarian, M. ;
Gorji, M. Rahimi ;
Pourmehran, O. ;
Domairry, G. .
INTERNATIONAL JOURNAL OF HYDROGEN ENERGY, 2017, 42 (34) :22005-22014
[9]   THE VISCOSITY OF CONCENTRATED SUSPENSIONS AND SOLUTIONS [J].
BRINKMAN, HC .
JOURNAL OF CHEMICAL PHYSICS, 1952, 20 (04) :571-571
[10]   Convective transport in nanofluids [J].
Buongiorno, J .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2006, 128 (03) :240-250