Numerical Examination of the Entropic Energy Harvesting in a Magnetohydrodynamic Dissipative Flow of Stokes’ Second Problem: Utilization of the Gear-Generalized Differential Quadrature Method
Abstract
The main purpose of this numerical investigation is to estimate energetically the thermo-magnetohydrodynamic (MHD) irreversibility arising in Stokes’ second problem by successfully applying the first and second thermodynamic laws to the unsteady MHD free convection flow of an electrically conducting dissipative fluid. This fluid flow is assumed to originate periodically in time over a vertical oscillatory plate which is heated with uniformly distributed temperature and flowing in the presence of viscous dissipation and Ohmic heating effects. Moreover, the mathematical model governing the studied flow is formulated in the form of dimensional partial differential equations (PDEs), which are transformed into non-dimensional ones with the help of appropriate mathematical transformations. The expressions of entropy generation and the Bejan number are also derived formally from the velocity and temperature fields. Mathematically, the resulting momentum and energy conservation equations are solved accurately by utilizing a novel hybrid numerical procedure called the Gear-Generalized Differential Quadrature Method (GGDQM). Furthermore, the velocity and temperature fields obtained numerically by the GGDQM are exploited thereafter for computing the entropy generation and Bejan number. Finally, the impacts of the various emerging flow parameters are emphasized and discussed in detail with the help of tabular and graphical illustrations. Our principal result is that the entropy generation is maximum near the oscillating boundary. In addition, this thermodynamic quantity can rise with increasing values of the Eckert number and the Prandtl number, whereas it can be reduced by increasing the magnetic parameter and the temperature difference parameter.
Funding source: King Khalid University
Award Identifier / Grant number: R.G.P-1/63/40
Funding statement: The authors wish to express their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work under Grant No. R.G.P-1/63/40.
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Research Articles
- The Thermocouple Revisited: The Thomson Effect
- Numerical Simulation for Radiated Flow in Rotating Channel with Homogeneous-Heterogeneous Reactions
- Thermodynamic Merger of Fluctuation Theorem and Principle of Least Action: Case of Rayleigh–Taylor Instability
- The Thermocouple Revisited: The Benedicks and Seebeck Effects
- Numerical Examination of the Entropic Energy Harvesting in a Magnetohydrodynamic Dissipative Flow of Stokes’ Second Problem: Utilization of the Gear-Generalized Differential Quadrature Method
- Performance Analysis of Diesel Cycle under Efficient Power Density Condition with Variable Specific Heat of Working Fluid
- Stochastic Novikov Engine with Fourier Heat Transport
- On the Efficiency of Electrochemical Devices from the Perspective of Endoreversible Thermodynamics
- Thermal Energy Transport Across Combined Films: Thermal Characteristics
Articles in the same Issue
- Frontmatter
- Research Articles
- The Thermocouple Revisited: The Thomson Effect
- Numerical Simulation for Radiated Flow in Rotating Channel with Homogeneous-Heterogeneous Reactions
- Thermodynamic Merger of Fluctuation Theorem and Principle of Least Action: Case of Rayleigh–Taylor Instability
- The Thermocouple Revisited: The Benedicks and Seebeck Effects
- Numerical Examination of the Entropic Energy Harvesting in a Magnetohydrodynamic Dissipative Flow of Stokes’ Second Problem: Utilization of the Gear-Generalized Differential Quadrature Method
- Performance Analysis of Diesel Cycle under Efficient Power Density Condition with Variable Specific Heat of Working Fluid
- Stochastic Novikov Engine with Fourier Heat Transport
- On the Efficiency of Electrochemical Devices from the Perspective of Endoreversible Thermodynamics
- Thermal Energy Transport Across Combined Films: Thermal Characteristics