A numerical study of two-phase nanofluid MHD boundary layer flow with heat absorption or generation and chemical reaction over an exponentially stretching sheet by Haar wavelet method

Abstract

This study examines the two-phase nanofluid magnetohydrodynamic (MHD) boundary layer flow model with heat absorption or generation and chemical reaction via porous media due to an exponential stretching sheet using the Haar wavelet collocation method (HWCM). First, the governing nonlinear partial differential equations (PDEs) are transformed into coupled, highly nonlinear, ordinary differential equations (ODEs) using similarity transformations. Then the coupled ODEs are translated from the infinite domain [0, $\infty$) to the finite domain [0, 1] via coordinate transformation because the wavelet plays a crucial role in [0, 1]. The obtained equations are solved using HWCM. The impacts of the physical parameters are discussed using tables and graphs. It was found that the Nusselt number $R{e}_x^{-1/2} N{u}_x$ is a decreasing function of the magnetic field, porous media parameter, heat generation or absorption parameter, and chemical reaction parameter.

Graphical Abstract

Keywords:

• Chemical reaction
• collocation points
• exponentially stretching sheet
• Haar wavelet
• nanofluid

Disclosure statement

On behalf of all authors, the corresponding author states that there is no conflict of interest.

Funding

The authors state that no funding is involved.

Authors’ contribution

Both authors have accepted responsibility for the entire content of this article and have approved its submission.

Data availability

Data will be made available upon request.