Work

A new Caputo time fractional model for heat transfer enhancement of water based graphene nanofluid: An application to solar energy

Year: 2018

Type: article

Abstract: In this article the idea of Caputo time fractional derivatives is applied to MHD mixed convection Poiseuille flow of nanofluids with graphene nanoparticles in a vertical channel. The applications of nanofluids in solar energy are argued for various solar thermal systems. It is argued in the article that using nanofluids is an alternate source to produce solar energy in thermal engineering and solar energy devices in industries. The problem is modelled in terms of PDE’s with initial and boundary conditions and solved analytically via Laplace transform method. The obtained solutions for velocity, temperature and concentration are expressed in terms of Wright’s function. These solutions are significantly controlled by the variations of parameters including thermal Grashof number, Solutal Grashof number and nanoparticles volume fraction. Expressions for skin-friction, Nusselt and Sherwood numbers are also determined on left and right walls of the vertical channel with important numerical results in tabular form. It is found that rate of heat transfer increases with increasing nanoparticles volume fraction and Caputo time fractional parameters.

Source: Results in Physics

DOI: 10.1016/j.rinp.2018.04.007

Authors: Sidra Aman, Ilyas Khan, Zulkhibri Ismail, Mohd Zuki Salleh, I. Tlili

Institutions: Universiti Malaysia Pahang Al-Sultan Abdullah, Ton Duc Thang University, Ecole Nationale d'Ingénieurs de Monastir

Language: English

Topic: Nanofluid Flow and Heat Transfer

Subfield: Fluid Flow and Transfer Processes

Field: Chemical Engineering

Domain: Physical Sciences

SDG: Affordable and clean energy

Open Access status: gold

Estimated APC paid: $1,920