University of Rajasthan

About: University of Rajasthan is a education organization based out in Jaipur, India. It is known for research contribution in the topics: Chemical shift & Derivative (chemistry). The organization has 15058 authors who have published 15733 publications receiving 117400 citations. The organization is also known as: Rajasthan University.

Analytical study for MHD flow of Williamson nanofluid with the effects of variable thickness, nonlinear thermal radiation and improved Fourier’s and Fick’s Laws

Abstract: The key aim of the present work is to analyze the magnetohydrodynamic 2D flow of Williamson type nanofluid. Heat and mass transfer impacts are carried out in the manifestation of nonlinear thermal radiation, Cattaneo–Christov heat and mass flux models and varying thicker surface. By applying the appropriate similarity transformations, the mathematical equations of velocity, temperature and volume fraction transform to NODEs. An analytical scheme is pragmatic to estimate the convergence solutions in terms of power series. The dimensionless velocity profile, temperature profile and nanoparticle volume fraction with the administrative physical aspects are depicted through graphs. It is evidently ostensible that the dimensionless velocity declines for the augmented index parameter and wall thickness while cumulative values of M and $$ \beta $$ , the horizontal fluid velocity decreases. Temperature specie upsurges with rising of Nb, Nt, $$ n,\;\beta ,\;R_{d} ,\theta_{w} $$ and M. Consequently demotes with the higher values of Pr and $$ De_{1} . $$ Nanoparticle volumetric specie escalates with the growing effects of Nt, while it diminishes with Nb, Sc and $$ De_{2} . $$ Comparison is the key procedure for validation our results with the earlier literature.

An Efficient Computational Technique for Fractional Model of Generalized Hirota–Satsuma-Coupled Korteweg–de Vries and Coupled Modified Korteweg–de Vries Equations

Abstract: The aim of the present investigation to find the solution for fractional generalized Hirota–Satsuma coupled Korteweg–de-Vries (KdV) and coupled modified KdV (mKdV) equations with the aid of an efficient computational scheme, namely, fractional natural decomposition method (FNDM). The considered fractional models play an important role in studying the propagation of shallow-water waves. Two distinct initial conditions are choosing for each equation to validate and demonstrate the effectiveness of the suggested technique. The simulation in terms of numeric has been demonstrated to assure the proficiency and reliability of the future method. Further, the nature of the solution is captured for different value of the fractional order. The comparison study has been performed to verify the accuracy of the future algorithm. The achieved results illuminate that, the suggested computational method is very effective to investigate the considered fractional-order model.