• MUHAMMAD NAWAZ

      Articles written in Pramana – Journal of Physics

    • Temperature and concentration gradient effects on heat and mass transfer in micropolar fluid

      SANNA IRAM MUHAMMAD NAWAZ ASAD ALI

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      This study investigates the temperature and concentration gradients on the transfer of heat and mass in the presence of Joule heating, viscous dissipation and time-dependent first-order chemical reaction in the flow of micropolar fluid. Governing boundary value problems are solved analytically and the effects of parameters involved are studied. The behaviour of the Nusselt number (at both disks) is noted and recorded in a tabular form. The present results have an excellent agreement with the already published results for a special case. The rate of transport of heat by concentration gradient and the diffusion of solute molecules by temperature gradient are increased. The concentration field is increased by constructive chemical reaction and it decreases when the rate of destructive chemical reaction is increased.

    • Numerical solution of time-fractional coupled Korteweg–de Vries and Klein–Gordon equations by local meshless method

      MUHAMMAD NAWAZ KHAN IMTIAZ AHMAD ALI AKGÜL HIJAZ AHMAD PHATIPHAT THOUNTHONG

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      This article provides numerical simulations of the time-fractional coupled Korteweg–de Vries and Klein–Gordon equations via the local meshless collocation method (LMCM) utilising the radial basis functions. The recommended local meshless technique is utilised for the space derivatives of the models whereas Caputo fractional definition is used for time-fractional derivative. Numerical experiments are performed for one-dimensional coupled Korteweg–de Vries and two-dimensional Klein–Gordon equations. In order to verify the efficiency and accuracy of the proposed meshless method, numerical results are compared with exact and numerical techniques reported in recent literature which reveals that the method is computationally attractive and produces better results.

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