Browsing by Author "Dhruv, V."

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    Nonrelativistic limit of Einstein-Cartan-Dirac equations
    (2018) Khanapurkar, S.; Pradhan, A.; Dhruv, V.; Singh, T.P.
    We derive the Schr dinger-Newton equation as the nonrelativistic limit of the Einstein-Dirac equations. Our analysis relaxes the assumption of spherical symmetry, made in an earlier work in the literature, while deriving this limit. Since the spin of the Dirac field couples naturally to torsion, we generalize our analysis to the Einstein-Cartan-Dirac equations, again recovering the Schr dinger-Newton equation. 2018 American Physical Society.
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    Nonrelativistic limit of Einstein-Cartan-Dirac equations
    (American Physical Society revtex@aps.org, 2018) Khanapurkar, S.; Pradhan, A.; Dhruv, V.; Singh, T.P.
    We derive the Schrödinger-Newton equation as the nonrelativistic limit of the Einstein-Dirac equations. Our analysis relaxes the assumption of spherical symmetry, made in an earlier work in the literature, while deriving this limit. Since the spin of the Dirac field couples naturally to torsion, we generalize our analysis to the Einstein-Cartan-Dirac equations, again recovering the Schrödinger-Newton equation. © 2018 American Physical Society.
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    Numerical study on fluid flow through collapsible channels
    (Springer, 2020) Dhruv, V.; Mishra, U.; Maniyeri, R.
    The fluid flow in collapsible channels or tubes is an interesting problem with several physiological applications; for example, blood flow in veins, air flow in lungs and wheezing. In this paper, we present a fluid-structure interaction based model for single-phase fluid flow through a microchannel containing two elastic walls. A two-dimensional model is developed and simulations have been performed using a commercial software. The deforming geometry is analyzed using moving mesh. The flow field and deformation of the elastic walls for different boundary loads and inlet flow conditions are presented and discussed. © Springer Nature Singapore Pte Ltd. 2020.