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Journal of Thermal Analysis and Calorimetry

, Volume 136, Issue 4, pp 1769–1779 | Cite as

Effects of binary chemical reaction and Arrhenius activation energy in Darcy–Forchheimer three-dimensional flow of nanofluid subject to rotating frame

  • Tasawar Hayat
  • Arsalan AzizEmail author
  • Taseer Muhammad
  • Ahmed Alsaedi
Article

Abstract

Darcy–Forchheimer three-dimensional rotating flow of nanoliquid in the presence of activation energy and heat generation/absorption is examined. Heat and mass transport via convective process is considered. Buongiorno model has been employed to illustrate thermophoresis and Brownian diffusion effects. Adequate transformation procedure gives rise to system in terms of nonlinear ODE’s. An efficient numerical technique namely NDsolve is used to tackle the governing nonlinear system. The graphical illustrations examine the outcomes of various sundry variables. Heat and mass transfer rates are also computed and examined. Our results indicate that the temperature and concentration distributions are enhanced for larger values of porosity parameter and Forchheimer number.

Keywords

Rotating frame Nanoparticles Darcy–Forchheimer porous medium Arrhenius activation energy Heat generation/absorption 

List of symbols

u, v, w

Velocity components

μ

Dynamic viscosity

ν

Kinematic viscosity

Cb

Drag coefficient

ω

Angular velocity

T

Temperature

Tf

Hot fluid temperature

T

Ambient fluid temperature

α*

Thermal diffusivity

(ρc)p

Effective heat capacity of nanoparticles

DB

Brownian diffusion coefficient

h1

Heat transfer coefficient

kr

Reaction rate

Ea

Activation energy

uw

Surface velocity

ζ

Dimensionless variable

θ

Dimensionless temperature

λ

Porosity parameter

Ω

Rotation parameter

Sc

Schmidt number

Nb

Brownian motion parameter

σ

Chemical reaction parameter

γ1

Thermal Biot number

Cfx, Cfy

Skin friction coefficients

Nux

Local Nusselt number

x, y, z

Coordinate axes

ρf

Density of base fluid

k*

Permeability of porous medium

F

Non-uniform inertia coefficient

Q

Heat generation/absorption coefficient

C

Concentration

Cf

Hot fluid concentration

C

Ambient fluid concentration

k

Thermal conductivity

(ρc)f

Heat capacity of fluid

DT

Thermophoretic diffusion coefficient

h2

Mass transfer coefficient

n

Fitted rate constant

κ

Boltzmann constant

c

Positive constant

f′, g

Dimensionless velocities

ϕ

Dimensionless concentration

Fr

Forchheimer number

S1

Heat generation/absorption parameter

Pr

Prandtl number

Nt

Thermophoresis parameter

E

Dimensionless activation energy

γ2

Concentration Biot number

Rex

Local Reynolds number

Shx

Local Sherwood number

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2018

Authors and Affiliations

  • Tasawar Hayat
    • 1
    • 2
  • Arsalan Aziz
    • 1
    Email author
  • Taseer Muhammad
    • 3
  • Ahmed Alsaedi
    • 2
  1. 1.Department of MathematicsQuaid-I-Azam UniversityIslamabadPakistan
  2. 2.Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia
  3. 3.Department of MathematicsGovernment College Women UniversitySialkotPakistan

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