| MHD Boundary Layer Flow Under Influence of Magnetic field and Heat Transfer over a Stretching/Shrinking Sheet in Nanofluid in 2D. |
| Paper ID : 1009-ISCH |
| Authors |
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Hoda Mohamed Mobarak *, Emad Mohamed Abo El Dahab, Rasha Adel Ibrahem, Mohamed Ahmed Abd Elhakem Mathematics department, faculty of science , Helwan University |
| Abstract |
| This research investigates the influence of heat transfer on various nanofluids, examining how these thermal dynamics affect their properties and behavior. To analyze the system, we employ numerical methods, transforming a set of partial differential equations into a system of higher-order ordinary differential equations (ODEs) through the application of symmetry transformations. To solve these higher-order ODEs, we utilize the spectral monic Chebyshev approximation method, which provides an efficient framework for handling complex boundary value problems. The results of our analysis are presented graphically, illustrating the impact of several key parameters, including: • Prandtl Number (Pr): A dimensionless number that characterizes the relative thickness of the thermal boundary layer to the momentum boundary layer. • Lewis Number (Le): A dimensionless parameter that indicates the ratio of thermal diffusivity to mass diffusivity, influencing heat and mass transfer. • Magnetic Parameter (M): A parameter that quantifies the influence of a magnetic field on the fluid motion and heat transfer within the nanofluid. • Brownian Motion Parameter (Nb): This parameter describes the effect of Brownian motion on the dispersion of nanoparticles within the fluid. • Thermophoretic Parameter (Nt): A dimensionless number representing the movement of particles in response to a temperature gradient. Through this comprehensive approach, we aim to elucidate the complex interactions between these parameters and their collective effects on the thermal performance of nanofluids. |
| Keywords |
| Fluids , MHD , Heat Transfer ,monic Chebyshev |
| Status: Abstract Accepted (Oral Presentation) |