Closure to “Computational Analysis for Mixed Convective Flows of Viscous Fluids With Nanoparticles” (Farooq, U., Lu, D. C., Ahmed, S., and Ramzan, M., 2019, ASME J. Therm. Sci. Eng. Appl., 11(2), p. 021013)

The authors regret in the published paper referenced above and agree with the discussion by Pantokratoras (2019, “Discussion: “Computational Analysis for Mixed Convective Flows of Viscous Fluids With Nanoparticles” (Farooq, U., Lu, D. C., Ahmed, S., and Ramzan, M., 2019, ASME J. Therm. Sci. Eng. Appl., 11(2), p. 021013),” ASME J. Therm. Sci. Eng. Appl., 11(5), p. 055503). In this Closure, the non-similar mathematical model is developed to describe the mixed convective nanofluid flow over vertical sheet which is stretching at an exponential rate. In the published article referenced above, similarity transformations are utilized to convert the governing nonlinear partial differential equations (PDEs) into ordinary differential equations (ODEs). The important physical numbers such as magnetic field (M2), Brownian motion parameter (Nb), thermophoresis (Nt), Eckert number (Ec), ratio of mass transfer Grashof to heat transfer Grashof (N), buoyancy parameter (λ), and Reynolds number (Re) appearing in the dimensionless ODEs are still functions of coordinate “x”; therefore, the problem is non-similar. In this corrigendum, the non-similar model is developed by using ξ(x) as non-similarity variable and η(x, y) as pseudo-similarity variable. The dimensionless non-similar model is numerically simulated by employing local non-similarity via bvp4c. The graphical results show no change in behavior. The important thermal and mass transport quantities such as Nusselt number and Sherwood number have been computed for the non-similar model, and results are compared with the published article.

[1]  Waseem Asghar Khan,et al.  Non-similar mixed convection analysis for magnetic flow of second-grade nanofluid over a vertically stretching sheet , 2021, Communications in Theoretical Physics.

[2]  M. Ijaz,et al.  Modeling and non-similar analysis for Darcy-Forchheimer-Brinkman model of Casson fluid in a porous media , 2020 .

[3]  T. Hayat,et al.  Activation energy for the Carreau-Yasuda nanomaterial flow: Analysis of the entropy generation over a porous medium , 2020 .

[4]  A. Pantokratoras Discussion: “Computational Analysis for Mixed Convective Flows of Viscous Fluids With Nanoparticles” (Farooq, U., Lu, D. C., Ahmed, S., and Ramzan, M., 2019, ASME J. Therm. Sci. Eng. Appl., 11(2), p. 021013) , 2019, Journal of Thermal Science and Engineering Applications.

[5]  M. Razzaq,et al.  The impact of variable fluid properties on hydromagnetic boundary layer and heat transfer flows over an exponentially stretching sheet , 2019, Journal of Physics Communications.

[6]  Jae Dong Chung,et al.  Computational Analysis for Mixed Convective Flows of Viscous Fluids With Nanoparticles , 2018, Journal of Thermal Science and Engineering Applications.

[7]  S. Nadeem,et al.  Convective Heat and Mass Transfer in Magneto Walter’s B Nanofluid Flow Induced by a Rotating Cone , 2018, Arabian Journal for Science and Engineering.

[8]  Ali J. Chamkha,et al.  NONSIMILAR SOLUTION OF UNSTEADY MIXED CONVECTION FLOW NEAR THE STAGNATION POINT OF A HEATED VERTICAL PLATE IN A POROUS MEDIUM SATURATED WITH A NANOFLUID , 2018 .

[9]  Ahmed Alsaedi,et al.  Series solutions of non-similarity boundary layer flows of nano-fluids over stretching surfaces , 2014, Numerical Algorithms.

[10]  D. Srinivasacharya,et al.  Non-similar solution for natural convective boundary layer flow of a nanofluid past a vertical plate embedded in a doubly stratified porous medium , 2014 .

[11]  I. Pop,et al.  Flow and heat transfer in a nano-liquid film over an unsteady stretching surface , 2013 .

[12]  Mehmet Pakdemirli,et al.  Magnetohydrodynamic and Slip Effects on the Flow and Mass Transfer over a Microcantilever-Based Sensor , 2012, J. Appl. Math..

[13]  Mehmet Pakdemirli,et al.  Lie Group Analysis of Unsteady Flow and Heat Transfer over a Porous Surface for a Viscous Fluid , 2012, J. Appl. Math..

[14]  E. Mureithi,et al.  Local non-similarity solutions for a forced-free boundary layer flow with viscous dissipation , 2010 .

[15]  R. Kandasamy,et al.  Local Nonsimilarity Solution for the Impact of a Chemical Reaction in an MHD Mixed Convection Heat and Mass Transfer Flow over a Porous Wedge in the Presence Of Suction/Injection , 2010 .

[16]  M. Massoudi Local non-similarity solutions for the flow of a non-Newtonian fluid over a wedge , 2001 .

[17]  E. Sparrow,et al.  Local non- similarity thermal boundary- layer solutions , 1971 .

[18]  E. Sparrow,et al.  Local nonsimilarity boundary-layer solutions , 1970 .