Padmaja K
@scholar.google.com
ASSISTANT PROFESSOR
Madanapalle Institute of Technology and Science
RESEARCH, TEACHING, or OTHER INTERESTS
Applied Mathematics, Computational Mathematics, Modeling and Simulation, Numerical Analysis
Scopus Publications
Scholar Citations
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Scopus Publications
K. Padmaja, B. Rushi Kumar, O. Anwar Bég, and Tasveer A. Bég
World Scientific Pub Co Pte Ltd
Spin coating of engineering components with advanced functional nanomaterials which respond to magnetic fields is growing. Motivated by exploring the fluid dynamics of such processes, a mathematical model is developed for chemically reactive Cu–H2O magnetohydrodynamic (MHD) nanofluid swirl coating flow on a revolving vertical electrically insulated cone adjacent to a porous medium under a radial static magnetic field. Heat and mass transfer is included and Dufour and Soret cross-diffusion effects are also incorporated in the model. Thermal and solutal buoyancy forces are additionally included. To simulate chemical reaction of the diffusing species encountered in manufacturing processes, a higher-order chemical reaction formulation is also featured. Via suitable scaling transformations, the governing nonlinear coupled partial differential conservation equations and associated boundary conditions are reformulated as a nonlinear ordinary differential boundary value problem. MATLAB-based shooting quadrature with a Runge–Kutta method is deployed to solve the emerging system. Concentration, temperature and velocity variations for various nondimensional flow parameters have been visualized and analyzed. In addition, key wall characteristics, i.e., radial and circumferential skin friction, Nusselt number and Sherwood number, have also been computed. Validation with earlier studies is also included. The simulations indicate that when compared to a lower-order chemical reaction, a higher-order chemical reaction allows a greater rate of heat and mass transfer at the cone surface. Increasing Dufour (diffuso-thermal) and Soret numbers generally reduces radial and circumferential skin friction and also Nusselt number, whereas it elevates the Sherwood number. Both skin friction components are also suppressed with increasing Richardson number. Strong deceleration in the tangential and circumferential velocity components is induced with greater magnetic field.
K. Padmaja and B. Rushi Kumar
Wiley
AbstractMost fluids used in industries possess a constant velocity acting with them. In spite of the fact that there have been a few studies conducted on the topic, the study of fluid flow at a constant velocity using nanofluids is still relatively unexplored. The novelty of this work is the analysis of the heat, and mass transfer of the nanofluid Al2O3–H2O along with a constant velocity in a rotating system with Soret–Dufour effects. This article aims to investigate the MHD nanofluid flow in a vertical plate with a porous medium taking into account viscous dissipation, Joule heating, and a non‐uniform heat source/sink. The investigation is subject to steady‐state incompressible flow through a vertical plate with a magnetic field and chemical reaction effects. Equations pertinent to nanofluid flow have been modeled as nonlinear partial differential equations. These equations are reformed as nondimensional ODEs utilizing suitable similarity transformations. Employing, the Runge–Kutta method the system of ODEs is solved. The physical impacts of the fluid parameters on velocity, temperature, and concentration are illustrated clearly using graphs. Tables are utilized to present the rate of heat, mass transfer as well as the skin‐friction coefficient. A limiting case of our work compared with the existing literature to validate our results. Our results show that when rotation parameter rises from 4 to 6, it decreases the heat transfer rate by 10.8% and mass transfer rate by 5.9%.
Padmaja K and Rushi Kumar B
Springer Science and Business Media LLC
AbstractMany fluids used in industries will possess a uniform velocity acting along with it. Although a few researchers have analyzed the fluid flow along with a constant velocity but such modeling in nanofluids is quite new. The novelty of this work is the numerical evaluation of a nanofluid with a constant velocity through a vertical plate in a porous medium under Dufour as well as Soret impacts coupled with a higher order chemical reaction. A rotating MHD nanofluid is investigated for both heat as well as mass transfer. An incompressible, steady-state fluid is subjected to flow through a semi-infinite plate by taking into account viscous dissipation as well as a magnetic field. Flow equations are typically represented by PDEs that are nonlinear and coupled. The PDEs are changed to ODEs by similarity transformation variables. Runge-Kutta method of $$4{\\text {th}}$$ 4 th order accuracy along with shooting technique is employed to solve the converted system of ODEs. $$\\text {Cu}{-}\\text {H}_2\\text {O}$$ Cu - H 2 O is used to provide an in-depth analysis of the examined problem. In order to account for practical considerations, the maximum order of the chemical reaction is limited to 3 and a comparative analysis is provided for $$1{\\text {st}}$$ 1 st and $$3{\\text {rd}}$$ 3 rd order chemical reactions. For different physical quantities, different numerical values that are obtained using MATLAB are used to analyze various properties regarding the flow. Heat transfer, and mass transfer rates are discussed using graphs and tables. Compared to low order chemical reactions, high order chemical reactions allow higher rates at which the reaction takes place, thus allowing greater rates of heat and mass transfer.
Padmaja K and B. Rushi Kumar
Begell House
K. Padmaja and B. Rushi Kumar
Springer Singapore