A two dimensional axisymmetric thermoelastic diffusion problem of micropolar porous circular plate with dual phase lag model

• Autorzy: Kumar R. , Miglani A. , Rani R.
• Języki publikacji: EN

Abstrakty

EN

In the present work, we consider a two dimensional axisymmetric problem of micropolar porous circular plate with thermal and chemical potential sources in the context of the theory of dual phase lag generalized thermoelastic diffusion. The potential functions are used to analyze the problem. The Laplace and Hankel transforms techniques are used to find the expressions of displacements, microrotation, volume fraction field, temperature distribution, concentration and stresses in the transformed domain. The inversion of transforms based on Fourier expansion techniques is applied to obtain the results in the physical domain. The numerical results for resulting quantities are obtained and depicted graphically. Effect of porosity, LS theory and phase lag are presented on the resulting quantities. Some particular cases are also deduced.

Słowa kluczowe

EN

micropolar porous; thermoelastic diffusion; circular plate; thermal potential sources; chemical potential sources; Laplace and Hankel transforms

PL

dyfuzja termoelastyczna; płyta kołowa; potencjalne źródła cieplne; potencjalne źródła chemiczne; transformata Laplace'a; transformata Hankela

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2018
• Tom: Vol. 22, nr 4
• Strony: 1389--1406
• Opis fizyczny: Bibliogr. 47 poz., wykr.

Twórcy

autor

Kumar R.

• Department of Mathematics, Kurukshetra University Kurukshetra, Haryana, India

autor

Miglani A.

• Department of Mathematics, Chaudhary Devilal University, Sirsa, Haryana, India

autor

Rani R.

• Department of Mathematics, Chaudhary Devilal University, Sirsa, Haryana, India

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).