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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

M. P. Preetham, S. Kumbinarasaiah

2023Numerical Heat Transfer Part B Fundamentals23 citationsDOI

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, ∞) 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 Rex−1/2 Nux is a decreasing function of the magnetic field, porous media parameter, heat generation or absorption parameter, and chemical reaction parameter.

Topics & Concepts

NanofluidHeat generationOrdinary differential equationPartial differential equationMagnetohydrodynamicsNusselt numberMaterials scienceMechanicsThermodynamicsMathematicsMathematical analysisPhysicsTurbulenceReynolds numberHeat transferDifferential equationMagnetic fieldQuantum mechanicsNanofluid Flow and Heat TransferFractional Differential Equations Solutions
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 | Litcius