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Chemical Reaction and Viscous Dissipative Effects on Buongiorno’s Nanofluid Model Past an Inclined Plane: A Numerical Investigation

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Abstract

The use of nanofluid in thermal applications dramatically enhanced the pattern of heat and mass transmission, which is essential in numerous engineering and industrial areas. Numerous innovative applications in solar energy and thermal engineering can be attributed to the consideration of nanofluid. Additionally, motile microorganisms, which have applications in enzymes, bioengineering, biomedicine, biofuels and petroleum sciences, perfectly improve the stability of nanofluid. The study of nanofluid has several dynamic applications in renewable energy and thermodynamic engineering problems. The aim of this paper is to discuss the chemical viscous dissipative transport of Buongiorno’s nanofluid across an inclined plane, considering Brownian movement and thermophoresis effects. The governing equations and the associated boundary conditions are normalized using the non-similarity transformation approach. The key variables and corresponding non-similarity solutions are provided to summarize the transpiration parameters. The Keller’s Box method is used to obtain the mathematical solutions. The numerical findings are given for various thermos-physical parameter values both physically and quantitatively. The graphical effects of various thermos-physical factors on momentum, energy, nanoparticle volume fraction concentration, shear stress rate, heat and mass transfer rates are examined and well discussed. The results show strong associations when compared to previously published literature. A slight increase in velocity with a rise in Kr values. Whereas, a slight decrease in temperature with an increase in Kr values and a strong decrease in nanoparticle volume fraction concentration with an increase in Kr values. A significant increase in velocity and temperature is seen with an increase in Ec and Nb values while nanoparticle volume fraction concentration is seen to decrease slightly.

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Data Availability

Data available within the article or its supplementary materials.

Abbreviations

C :

Nanoparticle volume fraction

C f :

Skin Friction Coefficient

c p :

Specific heat, (J/(K kg))

D B :

Brownian diffusion coefficient, (m2/s)

Dm :

Mass diffusion, (m2/s)

D T :

Thermophoretic diffusion coefficient (m2/s)

Ec :

Eckert number

f :

Dimensionless stream function

g :

Gravitational acceleration, (m/s2)

Gr x :

Local Grashof number

k :

Thermal conductivity of the fluid, (W/(m k)

k m :

Effective thermal conductivity, (W/(m k)

K 1 :

First order chemical reaction rate

Kr :

Chemical reaction parameter

Nb :

Brownian motion parameter

Nt :

Thermophoresis parameter

Nr :

Buoyancy ratio parameter

Nu :

Heat transfer coefficient

Pr :

Prandtl number

Ri :

Richardson number

Re x :

Local Reynolds number

S :

Cauchy stress tensor

Sc :

Schmidt number

Sh :

Mass transfer coefficient

T :

Fluid temperature, (K)

L :

Characteristic Length (m)

V :

Velocity vector, (m/s)

u, v :

Dimensionless velocity components in X and Y direction respectively, (m/s2)

X :

Stream wise coordinate

Y :

Transverse coordinate

P :

Pressure (kg/m s2)

α f :

Thermal diffusivity of the Nanofluid, (m2/s)

β :

Volumetric volume expansion coefficient of the fluid (ppm/0F)

τ :

Ratio of effective heat capacity of nanoparticle to the heat capacity of the fluid

σ :

Electric conductivity of the fluid, (kg−1 m−3 s3 A2)

η :

Non-dimensional radial coordinate

μ f :

Dynamic viscosity, (Ns/m2)

ξ :

Non-dimensional tangential coordinate

ψ :

Non-dimensional stream function

ν :

Kinematic viscosity, (m2/s)

ϕ :

Dimensionless concentration

θ :

Dimensionless temperature

ρ p :

Fluid density of the nanoparticles, (kg/m3)

( ρ c) p :

Effective heat capacity of the nanoparticles, (J/m3 K)

ρ f :

Density of the fluid

Ω :

Inclination angle

( ρ c) f :

Effective heat capacity of the base fluid, (J/m3 K)

W :

Conditions on the wall

∞ :

Free stream condition

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Authors and Affiliations

  1. Department of Mathematics, Madanapalle Institute of Technology & Science, Madanapalle, India

    Ramesh Reddy

  2. Preparatory Studies Center, Mathematics and Computing Skills Unit, University of Technology and Applied Sciences, Salalah, Sultanate of Oman

    S. Abdul Gaffar

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Ramesh reddy wrote the main manuscript text and Abdul Gaffar prepared figures and tables. All authors reviewed the manuscript.

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Correspondence to S. Abdul Gaffar.

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Reddy, R., Gaffar, S.A. Chemical Reaction and Viscous Dissipative Effects on Buongiorno’s Nanofluid Model Past an Inclined Plane: A Numerical Investigation. Int. J. Appl. Comput. Math 10, 81 (2024). https://doi.org/10.1007/s40819-024-01723-7

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