The Fractional Derivative and Moisture Diffusivity for Moore‑Gibson‑Thompson Model of Rotating Magneto‑Semiconducting Material

Faculty Science Year: 2024
Type of Publication: ZU Hosted Pages:
Authors:
Journal: Journal of Vibration Engineering & Technologies Springer Volume:
Keywords : , Fractional Derivative , Moisture Diffusivity for Moore‑Gibson‑Thompson    
Abstract:
Purpose This paper presents original research into the effects of the Moore-Gibson-Thompson (MGT) effect on the dif fusion of moisture in semiconductor material. The use of heat transfer theory in the context of plasma (optical excitation) phenomena in the semiconductor material is described by the fractional Moore-Gibson-Thompson model. The effect of rotation with constant angular velocity and magnetic field on light and heat transfer interactions inside a spherical cavity of elastic semiconductor material is studied. Method A technical form of fractional calculus called the Caputo fractional derivative is applied on the plasma-heat equa tion. The governing equations involving optical-thermal-mechanical excitation and physical field variables can be solved using the technique of the Laplace transform. Results To obtain the main physical field solutions in the time domain, a numerical method is considered to invert the Laplace transform. The results we obtained were discussed graphically and theoretically. Conclusion Graphical analysis is employed to visually represent the impact of several parameters, including fractional order, moisture concentration, as well as rotation field effects.
   
     
 
       

Author Related Publications

  • Khaled Lotfy Mohamed Azab, "Analytical solution of fractional order heat equation under the effects of variable thermal conductivity during photothermal excitation of spherical cavity of semiconductor medium", © 2019 Informa UK Limited, trading as Taylor & Francis Group, 2019 More
  • Khaled Lotfy Mohamed Azab, "Thermal Ramp Type of Photo-Thermal Excitation in Hall Current and Variable Thermal Conductivity of Semiconductor Elastic Material", # Springer Nature B.V. 2020, 2020 More
  • Khaled Lotfy Mohamed Azab, "Normal Mode Method for Two-Temperature Generalized Thermoelasticity under Thermal Shock Problem", Taylor & Francis, 2014 More
  • Khaled Lotfy Mohamed Azab, "The effect of a magnetic field on a 2D problem of fibre-reinforced thermoelasticity rotation under three theories,", Chinese, 2014 More
  • Khaled Lotfy Mohamed Azab, "Mode-I crack in a two-dimensional fibre-reinforced generalized thermoelastic problem,", Chinese, 2014 More

Department Related Publications

  • Hany Samih Bayoumi Ibrahim, "Passive and active controllers for suppressing the torsional vibration of multiple-degree-of-freedom system", Sage, 2014 More
  • Hany Samih Bayoumi Ibrahim, "Active vibration control of a dynamical system via negative linear velocity feedback", Springer Netherlands, 2014 More
  • Ahmed Mohamed Khedr Souliman, "NONLINEAR TRAJECTORY DISCOVERY OF A MOVING TARGET BY WIRELESS SENSOR NETWORKS", Computing and Informatics,, 2010 More
  • Ahmed Mohamed Khedr Souliman, "SEP-CS: Effective Routing Protocol for Heterogeneous Wireless Sensor Networks", Ad Hoc & Sensor Wireless Networks, 2012 More
  • Ahmed Mohamed Khedr Souliman, "Minimum connected cover of a query region in heterogeneous wireless sensor networks", Information Sciences, 2013 More
Tweet