Squeezing Flow of Carbon Nanotubes-Based Nanofluid in Channel Considering Temperature-Dependent Viscosity: A Numerical A
- PDF / 1,000,618 Bytes
- 7 Pages / 595.276 x 790.866 pts Page_size
- 12 Downloads / 198 Views
RESEARCH ARTICLE-MECHANICAL ENGINEERING
Squeezing Flow of Carbon Nanotubes-Based Nanofluid in Channel Considering Temperature-Dependent Viscosity: A Numerical Approach Z. Ahmed1 · S. Saleem2
· S. Nadeem3,4 · A. U. Khan5
Received: 13 March 2019 / Accepted: 23 September 2020 © King Fahd University of Petroleum & Minerals 2020
Abstract In this article, we have considered unsteady squeezing flow between two infinite parallel plates. The time-dependent magnetic field normal to the plate surface is taken into consideration with fluid thermal radiations. Fluid dynamic viscosity is sensitive to temperature. Governing partial differential equations (PDE) are transformed into ordinary differential equations (ODE) by introducing suitable similarity transformations. The reduced highly nonlinear ordinary differential equations are then solved numerically with the help of the Keller box method. Numerical and graphical results depict that the velocity profile decreases with rising values of variable viscosity parameter, while fluid temperature distribution increases. Results for local skin friction and Nusselt numbers are also computed. Numeric shows that skin friction coefficient, as well as the Nusselt number, decreases with variable viscosity parameter. The heat transfer rate declines with the radiation parameter but escalates for the squeezing parameter. Keywords Carbon nanotubes · Nanofluids · Squeezing flow · Variable viscosity
List of Symbols
T , qr
u, v ρn f , μn f
Tc , Th
p B(t), σ σe Cp S
B 1
2
Velocities along x and y-axis, respectively Effective density and dynamic viscosity of nanofluid Fluid pressure Magnetic field and electric charge density, respectively Stefan–Boltzmann constant Heat capacitance Squeezing parameter
S. Saleem [email protected] Department of Mathematics & Statistics, Institute of Business Management, Karachi, Pakistan Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia
3
Mathematics and its Applications in Life Sciences Research Group, Ton Duc Thang University, Ho Chi Minh City 72915, Vietnam
4
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, Vietnam
5
Department of Mathematics, Gomal University, D.I. Khan 29050, Khyber Pakhtunkhwa, Pakistan
f,θ θr K n f , αn f ϕ Rd βR H a, Pr
Fluid temperature and radiative heat flux, respectively The temperature at center and distance h(t), respectively Dimensionless velocity and temperature, respectively Variable viscosity parameter Thermal conductivity and diffusivity of nanofluid The volume fraction of CNT Thermal radiation parameter Mean absorption constant Hartmann number and Prandtl number, respectively
1 Introduction The widespread implication of squeezing flow in the vast domain of mechanical processes lures researchers to grill different aspects of the flow. Squeezing flows are generated when normal stresses are exerted by boundaries that either move toward or apart from each other. In life, the phenomena can be seen in polymer processing, f
Data Loading...
