Thermal analysis of peristaltic flow of nanosized particles within a curved channel with second-order partial slip and p
- PDF / 2,658,039 Bytes
- 13 Pages / 595.276 x 790.866 pts Page_size
- 14 Downloads / 202 Views
Thermal analysis of peristaltic flow of nanosized particles within a curved channel with second‑order partial slip and porous medium Arshad Riaz1 · Salah Ud‑Din Khan2 · Ahmed Zeeshan3 · Sami Ullah Khan4 · Mohsan Hassan5 · Taseer Muhammad6 Received: 21 January 2020 / Accepted: 14 February 2020 © Akadémiai Kiadó, Budapest, Hungary 2020
Abstract In a thermo-dynamical system, maximum transfer of energy takes the center of attention. Industrial advancement in recent years augmented the need for efficient heat transfer and cooling process both at the microscale and at the larger scale. The porous medium provides an advantage on fins or inserts due to its greater surface area in contact and hence enhances heat transfer rates. Nanofluids use nanosized particles with very high thermal conductivity uniformly distributed in base fluids which increases the conductivity of the base fluid ridiculously. Both the Porous matrix and nanofluid play a vital role in enhancing the heat transfer rate. In this paper, the transport of nanosized particles within a non-Darcy porous curved channel is assumed. The flow is induced by a peristaltic wave. Higher-order slip effects are also encountered. The flow problem is modeled using the so-called Buongiorno’s formulation. It is assumed that the wave on the wall has a long wavelength as compare to its amplitude; also, creeping flow assumption is added leading to small values of Reynolds’ number. The equations are solved analytically, and the exact solutions are achieved. Graphical and tabular outputs are displayed alongside detailed discussion. Keywords Heat and mass transfer · Nanofluid · Porous channel · Second-order partial slip · Analytic and numerical solutions
Introduction
* Arshad Riaz arshad‑[email protected] 1
Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, Pakistan
2
Sustainable Energy Technologies(SET) Center, College of Engineering, King Saud University, PO‑Box 800, Riyadh 11421, Saudi Arabia
3
Department of Mathematics and Statistics, Faculty of Basic and Applied Sciences (FBAS), International Islamic University (IIUI), Islamabad 44000, Pakistan
4
Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan
5
COMSATS University Islamabad, Lahore Campus, Lahore, Pakistan
6
Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia
Porous materials provide a variety of advantages over conventional engineering designs. The irregular motion of fluids helps and provides a uniform mixture of fluids which is also helpful in maintaining temperature distribution. More surface area in contact increases the heat transfer rate and controls the rate of the chemical reaction. Also, it helps in the improvement in heat flux absorption. Considering the advantages, many experimental and theoretical scientists prefer investigation of heat transfer in a system exploiting several different types of materials which use porous spaces. Technology advancement and a rise
Data Loading...
