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### Nagendramma, V.

- The Influence of EMHD on Boundary Layer Nanofluid Stagnation Flow Over a Stretching Sheet

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1 Department of Applied Mathematics, SPMVV, Tirupati-517502, A.P, IN

#### Authors

**Affiliations**

1 Department of Applied Mathematics, SPMVV, Tirupati-517502, A.P, IN

#### Source

Research Journal of Science and Technology, Vol 9, No 3 (2017), Pagination: 461-466#### Abstract

In this analysis, the stagnation flow conversion problems have been studied for mixed convection heat and mass transfer with electrical magneto hydrodynamic (EMHD) field over stretching sheet by considering nano particles. The physical phenomena varied which depended on various parameters. The important energy conversion parameters are S_{0}, E, Gt, Gc, Pr, Sc, Ncc, S and δ have constituted the dominance of the electric effect, mixed convection effect, heat, heat transfer effect, mass diffusion effect, heat conduction-convection effect and slip boundary effects, respectively. The similarity transformations and a Runge-Kutta Fourth order method are utilized to investigate the present thermal energy conversion problem. The non-linear ordinary differential equations of the corresponding flow field momentum, temperature, concentration equations and plate sheet heat conduction equation are obtained by availing the similarity transformation technique.

#### Keywords

EMHD, Nano Fluid, Heat Condction-Convection Effect, Slip Effects.#### References

- W. A. Khan, I. Pop, Boundary-layer flow of a nanofluid past a stretching sheet, Int. J. Heat Mass Transf. 53 (2010) 2477-2483.
- A. A. Afify, MHD free convective flow and mass transfer over a stretching sheet with chemical reaction, Heat Mass Transf. 40 (67) (2003) 495-500.
- S. Awang Kechil, I. Hashim, Series solution of flow over nonlinearly stretching sheet with chemical reaction and magnetic field, Phys. Lett. A 372 (13) (2008), 2258-2263.
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- O. A. Bég, A. Y. Bakier, and V. R. Prasad, “Numerical study of free convection magnetohydrodynamic heat and mass transfer from a stretching surface to a saturated porous medium with Soret and Dufour effects,” Computational Materials Sci 46, 57-65 (2009).
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- R.V.M.S.S Kiran Kumar, P.Durga Prasad, V. Nagendramma,A. Leelaratnam, S.V.K. Varma, Radiation and Viscous Dissipation Effects on MHD Heat Transfer Flow of Nanofluid over an Exponentially Stretching sheet in a Porous medium, International Journal of Pure and Applied Mathematics Vol. 113( 7 2017), 155-163.
- V. Nagendramma, A. Leela Ratnam, G. Sarojamma, MHD Heat and Mass Transfer Flow over an Exponentially stretching sheet in the Presence of Thermal Radiation,Chemical Reaction with Slip Effects, International Journal of Pure and Applied Mathematics, Vol. 109( 9), 2016, 257-265.
- Ch. Nagalakshmi1, V. Nagendramma, A. Leelaratnam, Non-Newtonian Nanofluid Flow over an Exponentially Stretching Sheet with Ohmic Effects, International Journal of Innovative Research in Science, Engineering and Technology, Vol. 6(13), 2017.
- Kai-Long Hsiao, Stagnation electrical MHD nanofluid mixed convection with slip boundary on a stretching sheet, Applied Thermal Engineering, 98, 2016, 850-861.

- Convective Conditions on Magnetohydrodynamic Flow Over Stretched Cylinder with Time and Space Dependent Heat Source or Sink

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1 Higher College of Technology, Muscat -105, OM

2 Department of Mathematics, S.P.M.V.V, Tirupati, A.P., IN

3 Department of Mathematics, GITAM University, Bangalore Campus, K.A., IN

4 Dept. of Mechanical Engineering, NIT Warangal, Warangal (Telangana), IN

#### Authors

B. Madhusudhana Rao

^{1}, V. Nagendramma^{2}, C. S. K. Raju^{3}, A. Leelaratnam^{2}, P. Prakash^{4}**Affiliations**

1 Higher College of Technology, Muscat -105, OM

2 Department of Mathematics, S.P.M.V.V, Tirupati, A.P., IN

3 Department of Mathematics, GITAM University, Bangalore Campus, K.A., IN

4 Dept. of Mechanical Engineering, NIT Warangal, Warangal (Telangana), IN

#### Source

Research Journal of Science and Technology, Vol 9, No 4 (2017), Pagination: 569-575#### Abstract

The present study emphases steady boundary layer flow and heat transfer of a hyperbolic tangent fluid flowing over a vertical exponentially stretching cylinder in its axial directionwith non-uniform heat source/sink. Proposed mathematical model has a tendency to characterize the effect of the non-uniform heat source/sink. The non-linear ordinary differential equations are solved using the Runge-Kutta Feldberg (RKF) integration method. The characteristics of velocity and temperature boundary layers in the presence of Weissennberg number We are presented for different physical parameters such as heat source/ sink parameter, Reynolds number Re, the Prandtl number Pr , the Weissennberg number We and the natural convection parameter λ , magnetic field parameter and porosity parameter K . Moreover, the friction factor coefficients, Nusselt number are also estimated and discussed for aforesaid physical parameters. In addition, the rate of heat transfer rate is higher in case of We = 0.5 compared toWe = 0 with n = 0.2 .#### Keywords

Weissennberg Number, Stretching Cylinder, Non-Uniform Heat Source/Sink, Non-Newtonian Fluid.#### References

- Ahmad K. Hanouf Z. Ishak A. Mixed convection Jeffrey fluid flow over an exponentially stretching sheet with magnetohydrodynamic effect. AIP Advances. 2016;6: 035024.
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- Crane L. Flow past a stretching plate. Angew Z. Math. Phy.1970; 21: p. 645-647.
- Cortell R. Flow and Heat transfer of fluid through a pours medium over a stretching sheet with internal heat generation /absorption suction blowing. Fluid Dyn. Res. 2005:37:p.231-245.
- Makinde OD. Animasaun IL. Bioconvection in MHD nanofluid flow with nonlinear thermal radiation and quartic autocatalysis chemical reaction past an upper surface of a paraboloid of revolution. International Journal of Thermal Sciences.2016; 109:p. 159-171.
- Das S. Ali A. Jana RN. Makinde OD. Magnetohydrodynamic boundary layer slip flow of radiating and chemically reactive nanofluid over a stretching sheet with Newtonian heating. Journal of Nanofluids. 2016; 5(4):p. 606-616.
- Ibrahim W. Makinde OD. Magnetohydrodynamic stagnation point flow and heat transfer of Casson nanofluid past a stretching sheet with slip and convective boundary condition. Journal of Aerospace Engineering.2016; 29(2):04015037.
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- Eegunjobi AS. Makinde OD.Second law analysis for MHD permeable channel flow with variable electrical conductivity and asymmetric Navier slips. Open Physics. 2015; 13:p.100-110.
- Wang TY. Mixed convection heat transfer from a vertical plate to non-Newtonian fluids, Int. J. Heat Fluid Flow. 1995; 16: p.56-61.
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- Unsteady Flow of Heat and Mass Transfer in Viscoelastic Fluid Over a Stretching Sheet with the Effect of Chemical Reaction

Abstract Views :572 |
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1 School of Engineering and Technology, SPMVV, TirupatI, IN

2 Dept. of Applied Mathematics, SPMVV, Tirupati, IN

#### Authors

**Affiliations**

1 School of Engineering and Technology, SPMVV, TirupatI, IN

2 Dept. of Applied Mathematics, SPMVV, Tirupati, IN

#### Source

Research Journal of Science and Technology, Vol 9, No 4 (2017), Pagination: 619-625#### Abstract

An analysis has been made to study the heat and mass transfer of an unsteady flow of a viscoelastic fluid over a stretching sheet in the presence of chemical reaction and suction parameter. The basic governing equations of the flow which are in the form of partial differential equations have been reduced to non linear ordinary differential equations by applying similarity transformations. The transformed equations are further solved by employing Runge-Kutta fourth order method along with shooting technique, Numerical results for velocity, heat and mass transfer rate are discussed graphically for different parameters.#### Keywords

Visco-Elastic Fluid, Heat Transfer, Mass Transfer, Chemical Reaction Parameter, Unsteady Flow.#### References

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