Padmaja K

@scholar.google.com

ASSISTANT PROFESSOR
Madanapalle Institute of Technology and Science

Padmaja K


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https://researchid.co/padmajak

RESEARCH, TEACHING, or OTHER INTERESTS

Applied Mathematics, Computational Mathematics, Modeling and Simulation, Numerical Analysis
6

Scopus Publications

69

Scholar Citations

5

Scholar h-index

2

Scholar i10-index

Scopus Publications

  • A comprehensive review of mathematical methods for fluid flow, heat and mass transfer problems: pros, cons and key findings
    K. Padmaja, B. Rushi Kumar, A. G. Vijaya Kumar, Rama S. R. Gorla
    Journal of Thermal Analysis and Calorimetry, 2025
  • Viscous dissipation and chemical reaction effects on MHD nanofluid flow over a vertical plate in a rotating system
    K. Padmaja, B. Rushi Kumar
    ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, 2023
    Most 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%.
  • Cross-Diffusion and Higher-Order Chemical Reaction Effects on Hydromagnetic Copper–Water Nanofluid Flow Over a Rotating Cone in a Porous Medium
    K. Padmaja, B. Rushi Kumar, O. Anwar Bég, Tasveer A. Bég
    Journal of Multiscale Modelling, 2023
    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.
  • Higher order chemical reaction effects on Cu - H 2O nanofluid flow over a vertical plate
    Padmaja K, Rushi Kumar B
    Scientific Reports, 2022
    Many 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.
  • BUOYANCY AND OHMIC HEATING EFFECTS ON MHD NANOFLUID FLOW OVER A VERTICAL PLATE EMBEDDED IN A POROUS MEDIUM
    Padmaja K, B. Rushi Kumar
    Journal of Porous Media, 2022
    We investigate the nanofluid flow past a vertical plate embedded in a porous medium under Ohmic heating, thermal buoyancy, and concentration buoyancy effects. We present a comprehensive analysis of the transfer of heat and transfer of mass of an MHD nanofluid, along with radiative heat flux. The study is subjected to the flow of a steady-state, incompressible nanofluid through a semi-infinite porous plate along with the impacts of a magnetic field as well as a first-order chemical reaction. Partial differential equations are numerically transformed into ordinary differential equations using nondimensional variables which are then solved analytically by using the perturbation method. Using the nanofluid Al2O3-H2O, we build a detailed picture of the problem. Utilizing graphs and tables, we computed the rates of mass and heat transfer. The different physical quantities that describe flow properties are expressed numerically. The flow of the nanofluid is enhanced by enhancing both thermal buoyancy and concentration buoyancy effects.
  • Dufour and Soret Effects on MHD Flow of Cu -Water and Al2O3 -Water Nanofluid Flow Over a Permeable Rotating Cone
    K. Padmaja, B. Rushi Kumar
    Studies in Fuzziness and Soft Computing, 2022

RECENT SCHOLAR PUBLICATIONS

  • A comprehensive review of mathematical methods for fluid flow, heat and mass transfer problems: pros, cons and key findings: K. Padmaja et al.
    K Padmaja, BR Kumar, AGV Kumar, RSR Gorla
    Journal of Thermal Analysis and Calorimetry 150 (16), 12075-12101 , 2025
    2025
    Citations: 5
  • Cross diffusion and higher order chemical reaction effects on hydromagnetic copper-water nanofluid flow over a rotating cone with porous medium
    B Rushi Kumar, OA Bég, TA Bég
    Journal of Multiscale Modeling , 2023
    2023
  • Cross-diffusion and higher-order chemical reaction effects on hydromagnetic Copper–water nanofluid flow over a rotating cone in a porous medium
    K Padmaja, BR Kumar, OA Bég, TA Bég
    Journal of Multiscale Modelling 14 (03), 2350006 , 2023
    2023
    Citations: 6
  • Viscous dissipation and chemical reaction effects on MHD nanofluid flow over a vertical plate in a rotating system
    K Padmaja, B Rushi Kumar
    ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2023
    2023
    Citations: 34
  • Viscous dissipation and chemical reaction effects on MHD nanofluid flow over a vertical plate in a rotating system
    BR K, Padmaja: Kumar
    ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für … , 2023
    2023
  • Higher Order Chemical Reaction Effects on Nanofluid Flow over a Vertical Plate
    K Padmaja, B Rushi Kumar
    Scientific reports 12 (1) , 2022
    2022
    Citations: 15
  • Dufour and Soret Effects on MHD Flow of -Water and -Water Nanofluid Flow Over a Permeable Rotating Cone
    K Padmaja, B Rushi Kumar
    Fuzzy Mathematical Analysis and Advances in Computational Mathematics, 221-236 , 2022
    2022
    Citations: 3
  • Buoyancy and ohmic heating effects on MHD nanofluid flow over a vertical plate embedded in a porous medium
    K Padmaja, BR Kumar
    Journal of Porous Media 25 (8) , 2022
    2022
    Citations: 6

MOST CITED SCHOLAR PUBLICATIONS

  • Viscous dissipation and chemical reaction effects on MHD nanofluid flow over a vertical plate in a rotating system
    K Padmaja, B Rushi Kumar
    ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2023
    2023
    Citations: 34
  • Higher Order Chemical Reaction Effects on Nanofluid Flow over a Vertical Plate
    K Padmaja, B Rushi Kumar
    Scientific reports 12 (1) , 2022
    2022
    Citations: 15
  • Cross-diffusion and higher-order chemical reaction effects on hydromagnetic Copper–water nanofluid flow over a rotating cone in a porous medium
    K Padmaja, BR Kumar, OA Bég, TA Bég
    Journal of Multiscale Modelling 14 (03), 2350006 , 2023
    2023
    Citations: 6
  • Buoyancy and ohmic heating effects on MHD nanofluid flow over a vertical plate embedded in a porous medium
    K Padmaja, BR Kumar
    Journal of Porous Media 25 (8) , 2022
    2022
    Citations: 6
  • A comprehensive review of mathematical methods for fluid flow, heat and mass transfer problems: pros, cons and key findings: K. Padmaja et al.
    K Padmaja, BR Kumar, AGV Kumar, RSR Gorla
    Journal of Thermal Analysis and Calorimetry 150 (16), 12075-12101 , 2025
    2025
    Citations: 5
  • Dufour and Soret Effects on MHD Flow of -Water and -Water Nanofluid Flow Over a Permeable Rotating Cone
    K Padmaja, B Rushi Kumar
    Fuzzy Mathematical Analysis and Advances in Computational Mathematics, 221-236 , 2022
    2022
    Citations: 3
  • Cross diffusion and higher order chemical reaction effects on hydromagnetic copper-water nanofluid flow over a rotating cone with porous medium
    B Rushi Kumar, OA Bég, TA Bég
    Journal of Multiscale Modeling , 2023
    2023
  • Viscous dissipation and chemical reaction effects on MHD nanofluid flow over a vertical plate in a rotating system
    BR K, Padmaja: Kumar
    ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für … , 2023
    2023