The Effect of Convolution Theory for Heat Transfer of Unsteady Nanofluid Flow with Presenting an Inclined Magnetic Field
Keywords:
q-homotopy analysis method, Laplace transform, convolution theory, Padé approximate, variable thermal conductivity, squeezing unsteady, inclination angle of applied magnetic fieldAbstract
The study examines unsteady nanofluid heat transfer in a squeezing flow between two parallel plates, using water as the base of fluid with gold , and magnetite nanoparticles. A new analytical approach (LCP-q-HAM) combining the q-homotopy analysis method, Laplace transform, convolution theory, and Padé approximation is employed to solve nonlinear differential equations that have to do with magnetic field effects and thermal conductivity. Analytical and numerical solutions (using BVP4C) are compared through tables and graphs, analyzing temperature and velocity distributions for various parameters such as nanoparticle volume fraction, Hartmann number, squeeze number, magnetic field angle, and conductivity. The results confirm the effectiveness of the analytical method
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