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On the evaluation of stratification based entropy optimized hydromagnetic flow featuring dissipation aspect and Robin
1School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China; Department of Mathematics, Mohi-ud-Din Islamic University, Nerian Sharif, 12010 Azad Kashmir, Pakistan.
Computer Methods and Programs in Biomedicine
|February 17, 2020
Summary
This study models non-linear mixed convection in second-grade nanofluids, crucial for heat exchangers and electronics cooling. Findings reveal how parameters like magnetic fields and stratification influence fluid velocity, temperature, and entropy generation for optimized thermal performance.
Area of Science:
- Fluid dynamics
- Heat transfer
- Nanotechnology
Background:
- Nonlinear convected flow is vital in heat exchangers, nuclear reactors, and electronics cooling.
- Second-grade nanofluids exhibit viscoelastic properties, impacting thermal processes.
- Optimizing heat transfer and reducing irreversibility are key goals in thermal system design.
Purpose of the Study:
- To model and analyze non-linear mixed convection in a second-grade nanofluid.
- To investigate the effects of various physical parameters on fluid flow and heat transfer.
- To evaluate entropy generation and the Bejan number for thermodynamic efficiency.
Main Methods:
- Formulation of a non-dimensional, non-linear problem incorporating magnetic fields, viscous dissipation, double stratification, Joule heating, and convective boundary conditions.
- Utilized the bvp4c numerical scheme for analyzing the non-linear system due to the impossibility of analytical solutions.
- Investigated the influence of parameters such as R*, λ*, M, S1, Ec, α2, and Br on the system.
Main Results:
- Fluid velocity increases with R* and λ* but decreases with the magnetic field parameter (M).
- Nanoliquid temperature decreases with stratification (S1) and increases with Eckert number (Ec).
- Entropy generation and Bejan number are significantly influenced by parameters M, α2, and Br.
Conclusions:
- The study provides insights into the complex behavior of second-grade nanofluids under non-linear mixed convection.
- Understanding the impact of physical parameters is essential for designing efficient thermal systems.
- The findings contribute to optimizing processes requiring enhanced heat transfer and reduced energy dissipation.
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