NAAC Accredited with B++ Grade
Permanently Affiliated to VTU, KA
Recognized By Govt. Of Karnataka
an ISO 9001:2008 Certified
Approved by AICTE
NBA Accredited

Basic Sciences- R & D Mathematics

The department of Mathematics is recognised as Research center as SMT. SHAKUNTHALA DEVI CENTRE FOR RESEARCH is involved in various domains of interdisciplinary research areas of Mathematics.

Doctoral Program

The Department of Mathematics is a R&D center approved in the year 2016 to pursue Doctoral degree programme  by Visvesvaraya Technological University, Belagavi.

The research areas presently focused in the Department are

  • Fluid Mechanics
  • Graph Theory

LIST OF RESEARCH GUIDES

Dr. Shanthi S R

Numerical solutions of stretching sheet problems with super linear stretching in Newtonian/non-Newtonian liquids, flow and heat transfer over a continuous moving surface under different physical situations.

Dr. Suma S P

Research area includes Rayleigh-Benard convection, Marangoni convection , double and triple diffusive convection in single and composite fluid and porous layers. Flows induced by density gradients due to temperature or/and concentration effects are found to occur in a wide range of situations such as chemical processes, crystal growth, material and food processing and energy storage.

Dr. Akkanagamma M

Electrohydrodynamics forced and free convection and research area includes Rayleigh-Benard convection, Electroconvection with couple stress dielectric fluid. The simultaneous effect of rotation and a vertical AC electric field on the onset of electrohydrodynamic instability in a horizontal couple stress dielectric fluid layer caused by the dielectrophoretic force due to the variation in the dielectric constant with temperature is investigated.

RESEARCH PUBLICATIONS

1. Dr. Shanthi S R

  • “Mixed Convective Flow around a Heated Vertical Slender Cylinder with Spatio-Temporal Stretching”, Journal of Magnetohydrodynamics, Plasma and Space Research, Vol 19 (4) 2017, 475-491.
  • “Axissymetric flow of a nanofluid past a vertical slender cylinder in the presence of a transverse magnetic  fluid”, Journal of Nanofluid,  Vol 5 (9) 2016, 101-109.
  • “Heat Transfer in an Upper Convected Maxwell Fluid with Fluid Particle Suspension”, Advances in Applied Mathematics and Mechanics , Vol. 7 (3) 06/2015, 369-386.
  • “Fluid Flow and Heat Transfer over a Permeable Stretching Cylinder”,  Journal of Applied Fluid Mechanics, Vol. 7 (1) 2014,  111-120.
  • “Axisymmetric Magneto-Hydrodynamic (MHD) Flow and Heat Transfer at a Non-Isothermal Stretching Cylinder”, Applied Mathematics and  Computation, Vol 219 (8) 2012, 3993-4005.
  • “Non-Newtonian Power – Law Fluid Flow and Heat Transfer over a Non- Linearly Stretching Surface”, Applied Mathematics, Vol 3, 2012, 425-435.
  • “Effect of Chemical Reaction on the Convective Axisymmetric Flow over a Vertical Slender Cylinder”, Communicated to Int. J of Thermal Sciences.
  • “Magnetic Field Effects on Axisymmetric Free Convective Flow of a Nanofluid Past a Vertical Slender Cylinder”, Communicated to Int. J of Heat and Mass Transfer.

 2. Dr. Suma S P

  • “Variable viscosity effects on penetrative convection in superposed fluid and porous layers” International Journal of Mathematical Archive, ISSN 2229 – 5046 , 34-46, 2014.
  • “Penetrative convection via internal heating in superposed fluid and anisotropic porous layers with through flow”,International Journal of Computer & Mathematical Sciences,  ISSN 2347 – 8527 Volume 3, Issue 1 ,2014.
  • “Variable Gravity Field and Throughflow Effects on Penetrative Convection in a Porous Layer”Int. Journal of Computers and Technology,Vol.5(3), pp. 172-191, 2013.
  • “Variable Viscosity Effects on Penetrative Convection in a FluidInt. Journal of Computers and Technology,Vol.5(3), pp. 51-65, 2013.
  • “Onset of Surface tension driven convectionin a fluid layer with boundary slab of finite conductivity and deformable free surface” International Journal of Mathematical Archive – Vol.4(5), ISSN 2229-5046, 2013.
  • Effect of internal heat generation on the onset of Marangoni convection in a fluid layer overlying a layer of an anisotropic porous medium” Transp. Porous Med.,Vol.92, pp.727-743, 2012.
  • “Throughflow effects on penetrative convection in superposed fluid and porous layers”Transp. Porous Med.,  Vol.93, pp. 1107-1127, 2012.
  • “Effect of non-uniform basic temperature gradients on Marangoni convection   with a boundary slab of finite conductivity” Int. Journal of Engg. Science and Technology,Vol.3, No.5, pp.4151-4160, 2011.
  • “Effect of throughflow and variable gravity field on thermal convection in a porous layer” Int. Journal of Engg. Science and Technology,Vol.3, No.10, pp.7658-7671, 2011.
  • “Exact analysis of effect of non-uniform temperature gradient on Marangoni convection with free slip condition” Mapana Journal of Sci.Vol.10,No.2, pp.1-10,2011.
  • “Marangoni convection in a fluid layer overlying a layer of an anisotropic porous layer with deformable free surface” Int. Journal of Engg. Science and Technology, Vol.3, No.10, pp.7643-7657, 2011.
  • “Exact solution of Rayleigh-Benard convection in the presence of non-uniform temperature gradient with free slip condition” Indian stream research journals,Vol.1,No.4, pp.132-134,2011.
  • “Onset of Surface-tension-driven convection in superposed layers of fluid and saturated porous medium” Archives of Mechanics,58, 1, pp.71 – 92, 2006.
  • “Convective Instability in Superposed Fluid and Porous Layers with Vertical Throughflow” Transport in Porous media, Vol.51, pp.1-18, 2003.
  • “Effect of throughflow and internal heat generation on the onset of convection in a fluid layer” Acta Mechanica, Vol.140, pp. 207-217, 2000.
  • “Rayleigh – Benard convection with throughflow – a comparative study between the single-term and higher order Galerkin methods” Applied Mechanics and Engineering,Vol.5, No.3, pp.507-520, 2000.
  • “Exact analysis of Marangoni convection with throughflow” Acta Mechanica, Vol.136, pp.109-117, 1999.
  • “Onset of Marangoni convection with throughflow” Vignana Bharathi, Vol.14, pp. 191-198, 1998.

3. Dr. Akkanagamma M

  •  Electrohydrodynamic instability of a rotating couple stress dielectric fluid layer, International Journal of Heat and Mass Transfer, 62, 761-771(2013).
  •  Effect of temperature boundary conditions on electrothermal convection in  a viscoelastic dielectric fluid-saturated porous  medium,  International  Journal of Applied Mathematics and  Engineering Science, 7, No. 1, 9-23 (2012).
  •  Electrothermal convection in a rotating dielectric fluid layer: Effect of velocity and   temperature boundary conditions. Internal Journal of Heat and Mass Transfer. 55, 2984–2991(2012).

FACULTY PURSUING PH.D

Sl no Name Designation Research topic University name Guide name
1 Mr. RAMESH T Asst. Prof. Mathematical modeling of reactive and non reactive contaminant transport in the saturated zone – A computational approach VTU,

Belagavi

Dr. S R Sudheendra

TJIT, Bangalore

2 Mr. ARAVIND H. R Asst. Prof. A study of Laplacian Energy of Graphs VTU,

Belagavi

Dr. Kavith J

SEACET, Bangalore

3 Ms. REKHA J Asst. Prof. Mathematical Analysis of Transport Through Unsaturated  Porus  Media in Presence of Nitrates ,Ionized Water & RADIATION Decay Applied of Migration  of Solid Column Experiments. VTU,

Belagavi

Dr. S R Sudheendra

TJIT, Bangalore

4 Mr. AMARESHA N Asst. Prof. EHD in Single and Superposed Fluid and porous layer VTU,

Belagavi

Dr. Akkanagamma M

& Dr. Suma S P

CIT, Bangalore