Abstract

The analysis of unsteady tangent hyperbolic nanofluid flow past a wedge with injection-suction, because of its beneficial uses, has gained a lot of attention. The present study is mainly concerned with tangent hyperbolic nanofluid (non-Newtonian nanofluid). First, we have converted the system of partial differential equations (PDEs) to a system of ordinary differential equations (ODEs) with the help of appropriate similarity transformations. Boundary conditions are also transformed by utilizing suitable similarity transformation. Now, for the obtained ODEs, we have used the numerical technique bvp 4 c and investigated the velocity, temperature, and concentration profiles. The accuracy of the flow model is validated by applying MAPLE d-solve command having good agreement while comparing the numerical results obtained by bvp4c for both suction and injection cases. The effects of distinct dimensionless parameters on the various profiles are being analyzed. The novel features such as thermophoresis and Brownian motion are also discussed to investigate the characteristics of heat and mass transfer. Graphical representation of the impact of varying parameters and the solution method for the abovementioned model is thoroughly discussed. It was observed that suction or injection can play a key role in controlling boundary layer flow and brings stability in the flow. It was also noticed that by increasing the Darcy number, velocity profile increases in both injection-suction cases.

Highlights

  • Under the boundary layer approximations, the dimensional form of a system of partial differential equations (PDEs) is yielded against the numerous distinct profiles which are transformed into ordinary differential equations (ODEs) by utilizing suitable similarity transformation

  • (ii) By increasing the Weissenberg number parameter (We), the velocity profile decreases and temperature and concentration profile will increase with injection-suction. e Weissenberg number is the significance in the study of flow of non-Newtonian fluids, depending upon the reheology and ratio of elastic to viscous forces

  • (iv) With the increase in the Darcy number (Da), velocity profile shows that velocity increases with injection-suction

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Summary

Ue zUe zx

E components of velocity are (u, v) along x- and y-axis. C and T are the nanofluid concentration and temperature in the BL region. Μ and ρ are the dynamic viscosity and density of the nanofluids. ] μ/ρ is the kinematic viscosity, n is the power law index. E numbers Γ, g, K1, βT, and βC signify material constant with time dependency, the gravitational acceleration magnitude, the porous medium permeability, volumetric thermal, and the expansion coefficient of concentration, respectively. Mean absorption and Stefan–Boltzmann constants are k∗ and σ∗, respectively; and the coefficient Qo represents the generation of heat when Qo > 0 and the absorption of heat when Qo < 0

We apply some boundary conditions on the above four
MomeneCrtumomnaclbebonouturnandtdaioarnyrylbalyoaeyugrenrdary layer B
Nt τDT
Results and Discussion
Conclusion
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