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Thermal instability analysis of nanoscale FG porous plates embedded on Kerr foundation coupled with fluid flow

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Abstract

For the first time in the present investigation, aiming to improve the performance of mono-gyroscopic systems, the stability and vibrational behavior of flowing fluid coupled functionally graded (FG) porous rectangular plate resting on different foundations subjected to thermal environments are studied. Applying the higher-order shear deformation theory (HSDT) incorporated in nonlocal elasticity theory results in the governing equations of the system. Also, to explain and analyze the effect of various key factors such as nonlocal parameter, power-law index of FG material, the volume fraction of porosity, the height and densities of fluid, structure aspect ratio, boundary conditions, types of substrates, and thermal environments on the dynamic characteristics and critical velocities of the system, a comprehensive parametric study is performed. By utilizing the generalized differential quadrature method (GDQM), the governing size-dependent equations are solved numerically, and the natural frequencies in addition to divergence and flutter corresponding velocities are extracted. To validate the present work, a comparative study is performed between the obtained results and outcomes reported in the engineering literature.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran

    Ali Forooghi, Saber Rezaey & Saeed Moradi Haghighi

  2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Ashraf M. Zenkour

  3. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh, 33516, Egypt

    Ashraf M. Zenkour

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  1. Ali Forooghi
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  2. Saber Rezaey
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  3. Saeed Moradi Haghighi
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  4. Ashraf M. Zenkour
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Correspondence to Ashraf M. Zenkour.

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Forooghi, A., Rezaey, S., Haghighi, S.M. et al. Thermal instability analysis of nanoscale FG porous plates embedded on Kerr foundation coupled with fluid flow. Engineering with Computers 38 (Suppl 4), 2953–2973 (2022). https://doi.org/10.1007/s00366-021-01426-3

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