Viscous dissipation impact on electrical resistance heating distributed Carreau nanoliquid along stretching sheet with z

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Viscous dissipation impact on electrical resistance heating distributed Carreau nanoliquid along stretching sheet with zero mass flux P. Sreenivasulu1, T. Poornima2,a , B. Malleswari3 , N. Bhaskar Reddy3 , Basma Souayeh4,5,b 1 Department of Humanities and Sciences, Sri Venkateswara Engineering College, Tirupati,

A.P. 517 502, India

2 Fluid Dynamics Division, School of Advanced Sciences, Vellore Institute of Technology, Vellore,

Tamilnadu 632014, India

3 Department of Mathematics, S.V. University, Tirupati, A.P. 517 502, India 4 Department of Physics, College of Science, King Faisal University, PO Box 380,

Al-Ahsa 31982, Saudi Arabia

5 Laboratory of Fluid Mechanics, Physics Department, Faculty of Sciences of Tunis,

University of Tunis El Manar, 2092 Tunis, Tunisia

Received: 28 June 2020 / Accepted: 7 August 2020 © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract The present paper envisages on the electric resistance heating distribution on threedimensional Carreau dissipated NF along a nonlinear stretching sheet. The characteristics of heat and mass transfer are conferred by utilizing nonlinear radiation and zero mass flux. The passive control on NPhas its own application in drug targeting therapy. Convectively hot fluid is placed near the stretching sheet. The governing Prandtl boundary layer equations are modeled using relative laws and transformed to highly nonlinear ordinary differential equations with similarity conversion variables. The dependent variables in governing equation are solved by shooting method with R-K scheme. A comparative study of Pseudoplastic and Dilatant fluids is deliberated in this study. Varied physical parameters, whose behaviors on the velocity, energy and species concentration are analyzed. Shear thickening fluid nature superiors the shear thinning fluid nature when the fluid flow swifts, whereas energy exchange from the system is more in Dilatant fluid. Heat transfer rate is higher when the fluid flow swifts. Heat transfer from the fluid to the surface is slow as the Eckert number along both x–y directions. The examination of present outcomes with the existing work has been made, which is good agreed. The present study reveals that the liquid stream velocity declines for the larger values of ratio of stretching rates parameter c and conflicting behavior is detected in tangential velocity.

a e-mail: [email protected] (corresponding author) b emails: [email protected]; [email protected] (corresponding author)

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List of symbols Dimensional variables B B0 C hf k kf ke n pf T Tf qr u,v,w uw ,vw We x,y,z

Magnetic induction strength (T) Uniform magnetic field strength (T) Concentration (kg/m3 ) Coefficient of heat transfer Thermal conductivity (W/(m K)) Thermal conductivity (W/(m K)) Mean absorption coefficient Index of flow behavior Pressure (Pa) Temperature (K) Hot fluid temperature Radiative heat flux (W/m2 ) Velocity components (m/s) Stretching velocities (m/s) Weissenbe