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Computational simulation for MHD peristaltic transport of Jeffrey fluid with density-dependent parameters
1Department of Basic and Applied Science, International Academy For Engineering and Media Science, IAEMS, Cairo, 11311, Egypt.
This study introduces new non-dimensional parameters for Jeffrey fluid flow, considering temperature and concentration effects. High Reynolds numbers dampen temperature but increase concentration, impacting drug delivery and blood flow.
Area of Science:
- Fluid Dynamics
- Non-Newtonian Fluids
- Heat and Mass Transfer
Background:
- Fluid density variations with temperature and concentration are critical in modeling complex flows.
- Jeffrey fluid models are essential for simulating non-Newtonian fluid behavior in various applications.
- Peristaltic transport in inclined channels is relevant to physiological and industrial processes.
Purpose of the Study:
- To develop a novel theoretical framework for non-dimensional parameters in Jeffrey fluid flow.
- To investigate the influence of temperature and concentration-dependent density on fluid dynamics.
- To analyze peristaltic transport of Jeffrey fluid in an inclined channel.
Main Methods:
- Mathematical modeling of Jeffrey fluid flow with variable density.
- Application of non-dimensionalization to simplify the governing equations.
- Utilizing the Adaptive Shooting method for numerical solution of the fluid dynamics problem.
- Verification of results through numerical comparison with established algorithms.
Main Results:
- Axial velocity is significantly influenced by the Reynolds number.
- High Reynolds numbers act as a damper for fluid temperature but enhance fluid particle concentration.
- The Darcy number, influenced by non-constant fluid density, shows a significant impact on fluid velocity.
Conclusions:
- The proposed non-dimensional parameters offer a new theoretical recommendation for Jeffrey fluid flow analysis.
- Variable fluid density significantly affects flow behavior, with implications for applications like drug delivery and blood circulation.
- The study provides valuable insights into the complex interplay of parameters in peristaltic transport.
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