Heat transfer exaggeration and entropy analysis in magneto-hybrid nanofluid flow over a vertical cone: a numerical study
- PDF / 3,075,554 Bytes
- 17 Pages / 595.276 x 790.866 pts Page_size
- 34 Downloads / 199 Views
Heat transfer exaggeration and entropy analysis in magneto‑hybrid nanofluid flow over a vertical cone: a numerical study Hanifa Hanif1,3 · Ilyas Khan2 · Sharidan Shafie3 Received: 29 September 2019 / Accepted: 1 January 2020 © Akadémiai Kiadó, Budapest, Hungary 2020
Abstract Entropy analysis is closely scrutinized for unsteady mixed convection in magneto-hybrid nanofluid (Cu–Fe 3O4–water) flow over an inverted cone surrounded by a porous medium. The mathematical model comprises nonlinear, coupled partial differential equations. The numerical solutions of constitutive equations assisted by related initial boundary conditions are obtained by an effective finite difference method. The specified ranges for active parameters are: 0 ≤ 𝜑hnf ≤ 0.04 , 0 ≤ M ≤ 5 , 0.5 ≤ K ≤ 3.5 , 0.6 ≤ Gr ≤ 1 and 0.1 ≤ BrΩ−1 ≤ 0.4 . The impact of various parameters arising in the constitutive flow model on the virtual flow parameters is analyzed carefully, and the outcomes are illustrated graphically. Also, steady-state entropy production and Bejan lines are plotted for various active parameters. In addition, the physical quantities, i.e., heat transfer and momentum coefficient, are scrutinized for various parameters and the outcomes are displayed in the tabulated form. It is witnessed that heat transfer rates improved incredibly with growing estimates of hybrid nanoparticles volume fraction. The Nusselt number enhancement of Cu–Fe3O4–water hybrid nanofluid are 0.53%, 0.76%, 0.95% and 1.1% corresponding to volume concentration of 1%:4% with a difference of 1%, respectively. The theoretical measurement of skin friction showed a maximum enhancement of 0.25% at a volume concentration of 1% compared with Fe3O4–water nanofluid. Moreover, the momentum and heat transport coefficients are compared with those of natural convection and the result showed that heat transfer coefficient attains higher rates in mixed convectional flow compared with natural convection. Keywords Hybrid nanofluid · Magnetohydrodynamics · Entropy generation · Bejan number · Finite difference method List of symbols (U, V) Velocity components in (x, y) direction (x, y) Cartesian coordinates B Magnetic field Be Bejan number Br Brinkman number Cp Specific heat capacity g Gravitational acceleration Gr Thermal Grashof number K Dimensionless porosity parameter k Thermal conductivity * Ilyas Khan [email protected] 1
Department of Mathematics, Sardar Bahadur Khan Women’s University, Quetta, Pakistan
2
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
3
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia
k0 Permeability of porous medium L Reference length M Dimensionless magnetic parameter Nux Local Nusselt number q Heat flux r Radius of the cone S0 Characteristic entropy generation SGEN Dimensionless entropy generation Sgen Volumetric entropy generation T Temperature t Time Pr Prandtl number Greek symbols 𝛼 Half angle of the cone 𝛽
Data Loading...
