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5 results on '"S. D. Warbhe"'

1. Thermal stresses associated with a thermosensitive multilayered disc analysed due to point heating

Author

V. B. Srinivas, V. R. Manthena, S. D. Warbhe, G. D. Kedar, and Navneet Kumar Lamba

Subjects
stresses, deflection, multilayered annular disc, thermosensitive, instantaneous point heat source, Mechanical engineering and machinery, TJ1-1570
Abstract

In this paper, analytical solutions are presented for temperature and thermal behavior of a thermosensitive multilayered annular disc due to point heat source. Convective heating is applied to both the innermost and outermost layers. The nonlinearity of the thermal diffusivity equation is dealt using Kirchhoff’s transformation technique. A finite integral transform in the form of Bessel’s function is used to deal with the radial variable r. Fourier transform and angular eigen functions are also used to solve the thermal diffusivity equation. Deflection, resultant forces, shearing forces, resultant moments and thermal stresses are obtained. A mathematical representation is formulated for a 3-layered disc, with the inner, middle and outer layers composed of copper, zinc and aluminum respectively. The results are depicted graphically.

Published
2024
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3. Impact of COVID-19: A mathematical model

Author

K. C. Deshmukh, Navneet Kumar Lamba, and S. D. Warbhe

Subjects
2019-20 coronavirus outbreak, Coronavirus disease 2019 (COVID-19), viruses, Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), Applied Mathematics, 010103 numerical & computational mathematics, 02 engineering and technology, Biology, medicine.disease_cause, 01 natural sciences, Virology, Viral infection, 0202 electrical engineering, electronic engineering, information engineering, medicine, 020201 artificial intelligence & image processing, 0101 mathematics, Analysis, Coronavirus
Abstract

In the present scenario, the whole world struggling with COVID-19 which affects highly transmittable and pathogenic viral infection that rose by a newly discovered coronavirus and believed to be or...

Published
2020
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4. BRIEF NOTE ON HEAT FLOW WITH ARBITRARY HEATING RATES IN A HOLLOW CYLINDER

Author

K. C. Deshmukh, V. S. Kulkarni, and S. D. Warbhe

Subjects
Materials science, Convective heat transfer, nonhomogeneous problem, Renewable Energy, Sustainability and the Environment, Critical heat flux, lcsh:Mechanical engineering and machinery, homogeneous heat conduction problem, Thermodynamics, Heat transfer coefficient, Mechanics, heat conduction problem, heat generation, Heat capacity rate, Heat flux, Heat generation, Heat transfer, lcsh:TJ1-1570, Heat kernel
Abstract

In this paper the temperature distribution is determined through a hollow cylinder under an arbitrary time dependent heat flux at the outer surface and zero heat flux at the internal boundary due to internal heat generation within it. To develop the analysis of the temperature field, we introduce the method of integral transform. The results are obtained in a series form in-terms of Bessel?s functions.

Published
2011

5. Thermal stresses induced by a point heat source in a circular plate by quasi-static approach

Author

V. S. Kulkarni, S. D. Warbhe, Y. I. Quazi, and K. C. Deshmukh

Subjects
Environmental Engineering, Materials science, Mechanical Engineering, Thermal resistance, Biomedical Engineering, Computational Mechanics, Aerospace Engineering, Ocean Engineering, Mechanics, Heat transfer coefficient, Relativistic heat conduction, Thermal conduction, Classical mechanics, Heat flux, thermal stresses, Mechanics of Materials, Heat generation, Heat transfer, heat generation, thermoelastic problem, non-homogeneous heat conduction equation, Heat kernel, Civil and Structural Engineering
Abstract

The present paper deals with the determination of quasi-static thermal stresses due to an instantaneous point heat source of strength g pi situated at certain circle along the radial direction of the circular plate and releasing its heat spontaneously at time t = τ . A circular plate is considered having arbitrary initial temperature and subjected to time dependent heat flux at the fixed circular boundary of r = b . The governing heat conduction equation is solved by using the integral transform method, and results are obtained in series form in terms of Bessel functions. The mathematical model has been constructed for copper material and the thermal stresses are discussed graphically.

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