Dr R Madhusudhan

@jyothyit.ac.in

Associate Professor & HOD, Department of Mathematics
Jyothy Institute of Technology

Dr R Madhusudhan


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https://researchid.co/rvmadhu
Dr. R Madhusudhan obtained his Bachelor of Science, Master of Science in Mathematics and Doctoral degree from Bangalore University, Bangalore. He has teaching experience of over 16 years at undergraduate and 1 year of inclusive teaching experience at post graduate level of engineering. He has published research papers in international journals and has participated in several conferences and workshops. His areas of interests include Fluid Dynamics, Graph Theory and Atmospheric Science. He is a life member of ISTE and is an Associate Professor & Head.

EDUCATION

M.Sc, PhD in Mathematics

RESEARCH INTERESTS

Fluid Dynamics
6

Scopus Publications

18

Scholar Citations

3

Scholar h-index

Scopus Publications

  • Finite Element Method for One-Dimensional Darcy–Brinkman–Forchheimer Fluid Flow Model
    S. M. Mallikarjunaiah, V. Kesavulu Naidu, R. Madhusudhan, N. Anand
    Lecture Notes in Civil Engineering, 2024
  • Chemical Reaction Rate and Stimulation Energy Influence on Casson Radiating Nanofluid Flow Past a Wedge
    M. Sreelatha, M. C. Kemparaju, Mahantesh M. Nandeppanavar, N. Raveendra, R. Madhusudhan
    Aip Conference Proceedings, 2023
  • Application of HAM to laminar boundary layer flow over a wedge with an external magnetic field
    Mahantesh M. Nandeppanavar, R. Madhusudhan, Achala L. Nargund, S. B. Sathyanarayana, M. C. Kemparaju
    Heat Transfer, 2022
    The incompressible laminar along with injection or suction over a wedge for a boundary layer flow is studied. Falkner–Skan transformations reduce the governing partial differential equations (PDEs) to two nonlinear coupled PDEs and are solved by the homotopy analysis method (HAM). The variation of a dimensionless temperature and velocity profiles f ′ ( η ) and θ ( η ) for E c = 0.001 , M p = 0.05 , m = 0.0909 and to the nonidentical values of the parameter s for injection/suction has been shown in the graph. The results hence obtained show that the flow field is determined by the existence of the applied magnetic field. The finite difference method is applied to the reduced PDEs and the velocity and temperature profiles are compared with the HAM solutions and depicted graphically. To distinguish singularities in the graph, we have applied Pade for the HAM series solution, which is depicted in graphs for all three cases. We have also estimated the radius of convergence of HAM solutions by Domb–Sykes plot for injection, no suction, and suction respectively. The important observation made by us through HAM and numerical solution is the existence of flow separation for injection, which is not shown by previous authors.
  • On Comparison of Homotopy Analysis Method and Finite Difference Method for Two Dimensional Steady Compressible Flow with Pressure Gradients
    Mahantesh M. Nandeppanavar, R. Madhusudhan, M. C. Kemparaju, R. Latha
    International Journal of Applied and Computational Mathematics, 2021
  • The effect of magnetic field on compressible boundary layer by homotopy analysis method
    R. Madhusudhan, Achala L. Nargund, S. B. Sathyanarayana
    Journal of the Indian Mathematical Society, 2021
    We analyse the effect of applied magnetic field on the flow of compressible fluid with an adverse pressure gradient. The governing partial differential equations are solved analytically by Homotopy analysis method (HAM) and numerically by finite difference method. A detailed analysis is carried out for different values of the magnetic parameter, where suction/ injection is imposed at the wall. It is also observed that flow separation is seen in boundary layer region for large injection. HAM is a series solution which consists of a convergence parameter h which is estimated numerically by plotting <em>h</em> curve. Singularities of the solution are identified by Pade approximation.
  • MHD slip flow and convective heat transfer due to a moving plate with effects of variable viscosity and thermal conductivity
    Mahantesh M. Nandeppanavar, M.C. Kemparaju, R. Madhusudhan, S. Vaishali
    Multidiscipline Modeling in Materials and Structures, 2020
    PurposeThe steady two-dimensional laminar boundary layer flow, heat and mass transfer over a flat plate with convective surface heat flux was considered. The governing nonlinear partial differential equations were transformed into a system of nonlinear ordinary differential equations and then solved numerically by Runge–Kutta method with the most efficient shooting technique. Then, the effect of variable viscosity and variable thermal conductivity on the fluid flow with thermal radiation effects and viscous dissipation was studied. Velocity, temperature and concentration profiles respectively were plotted for various values of pertinent parameters. It was found that the momentum slip acts as a boost for enhancement of the velocity profile in the boundary layer region, whereas temperature and concentration profiles decelerate with the momentum slip.Design/methodology/approachNumerical Solution is applied to find the solution of the boundary value problem.FindingsVelocity, heat transfer analysis is done with comparing earlier results for some standard cases.Originality/value100

RECENT SCHOLAR PUBLICATIONS

  • Finite Element Method for One-Dimensional Darcy–Brinkman–Forchheimer Fluid Flow Model
    NA S M Mallikarjunaiah, V Kesavulu Naidu, R Madhusudhan
    Recent Advances in Civil Engineering for Sustainable Communities, Lecture … , 2024
    2024
    Citations: 1
  • Chemical reaction rate and stimulation energy influence on casson radiating nanofluid flow past a wedge
    M Sreelatha, MC Kemparaju, MM Nandeppanavar, N Raveendra, ...
    2ND INTERNATIONAL CONFERENCE ON RECENT TRENDS IN APPLIED AND COMPUTATIONAL … , 2023
    2023
    Citations: 1
  • Application of HAM to laminar boundary layer flow over a wedge with an external magnetic field
    MM Nandeppanavar, R Madhusudhan, AL Nargund, SB Sathyanarayana, ...
    Heat Transfer 51 (1), 170-192 , 2022
    2022
    Citations: 5
  • On comparison of homotopy analysis method and finite difference method for two dimensional steady compressible flow with pressure gradients
    MM Nandeppanavar, R Madhusudhan, MC Kemparaju, R Latha
    International Journal of Applied and Computational Mathematics 7 (1), 20 , 2021
    2021
    Citations: 1
  • THE EFFECT OF MAGNETIC FIELD ON COMPRESSIBLE BOUNDARY LAYER BY HOMOTOPY ANALYSIS METHOD
    ALNANDSBS R. MADHUSUDHAN
    Journal of indian mathematical society 88 (1-2), 125-145 , 2021
    2021
    Citations: 1
  • MHD slip flow and convective heat transfer due to a moving plate with effects of variable viscosity and thermal conductivity
    MM Nandeppanavar, MC Kemparaju, R Madhusudhan, S Vaishali
    Multidiscipline Modeling in Materials and Structures 16 (5), 991-1018 , 2020
    2020
    Citations: 6
  • Study of Compressible Fluid Flow in Boundary Layer Region by Homotopy Analysis Method
    RMSBS Achala L. Nargund
    International Journal of Latest Trends in Engineering and Technology 9 … , 2017
    2017
    Citations: 3
  • Semi Analytic Approximate Solution Of Nonlinear Partial Differential Equations
    RMSBS Achala L. Nargund
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH 4 (6), 1418-1428 , 2016
    2016
  • HOMOTOPY ANALYSIS METHOD TO SOLVE BOUSSINESQ EQUATIONS
    RMSBS Achala L. Nargund
    JOURNAL OF ADVANCES IN PHYSICS 10 (3), 2825 , 2015
    2015

MOST CITED SCHOLAR PUBLICATIONS

  • MHD slip flow and convective heat transfer due to a moving plate with effects of variable viscosity and thermal conductivity
    MM Nandeppanavar, MC Kemparaju, R Madhusudhan, S Vaishali
    Multidiscipline Modeling in Materials and Structures 16 (5), 991-1018 , 2020
    2020
    Citations: 6
  • Application of HAM to laminar boundary layer flow over a wedge with an external magnetic field
    MM Nandeppanavar, R Madhusudhan, AL Nargund, SB Sathyanarayana, ...
    Heat Transfer 51 (1), 170-192 , 2022
    2022
    Citations: 5
  • Study of Compressible Fluid Flow in Boundary Layer Region by Homotopy Analysis Method
    RMSBS Achala L. Nargund
    International Journal of Latest Trends in Engineering and Technology 9 … , 2017
    2017
    Citations: 3
  • Finite Element Method for One-Dimensional Darcy–Brinkman–Forchheimer Fluid Flow Model
    NA S M Mallikarjunaiah, V Kesavulu Naidu, R Madhusudhan
    Recent Advances in Civil Engineering for Sustainable Communities, Lecture … , 2024
    2024
    Citations: 1
  • Chemical reaction rate and stimulation energy influence on casson radiating nanofluid flow past a wedge
    M Sreelatha, MC Kemparaju, MM Nandeppanavar, N Raveendra, ...
    2ND INTERNATIONAL CONFERENCE ON RECENT TRENDS IN APPLIED AND COMPUTATIONAL … , 2023
    2023
    Citations: 1
  • On comparison of homotopy analysis method and finite difference method for two dimensional steady compressible flow with pressure gradients
    MM Nandeppanavar, R Madhusudhan, MC Kemparaju, R Latha
    International Journal of Applied and Computational Mathematics 7 (1), 20 , 2021
    2021
    Citations: 1
  • THE EFFECT OF MAGNETIC FIELD ON COMPRESSIBLE BOUNDARY LAYER BY HOMOTOPY ANALYSIS METHOD
    ALNANDSBS R. MADHUSUDHAN
    Journal of indian mathematical society 88 (1-2), 125-145 , 2021
    2021
    Citations: 1
  • Semi Analytic Approximate Solution Of Nonlinear Partial Differential Equations
    RMSBS Achala L. Nargund
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH 4 (6), 1418-1428 , 2016
    2016
  • HOMOTOPY ANALYSIS METHOD TO SOLVE BOUSSINESQ EQUATIONS
    RMSBS Achala L. Nargund
    JOURNAL OF ADVANCES IN PHYSICS 10 (3), 2825 , 2015
    2015