Mahzad Ahmed¹, Raja Mussadaq Yousaf², Ali Hassan^3,4,*, B. Shankar Goud⁵

Frontiers in Heat and Mass Transfer, Vol.22, No.4, pp. 1261-1276, 2024, DOI:10.32604/fhmt.2024.048091 - 30 August 2024

Abstract In the current work, inclined magnetic field, thermal radiation, and the Cattaneo-Christov heat flux are taken into account as we analyze the impact of chemical reaction on magneto-hydrodynamic Casson nanofluid flow on a stretching sheet. Modified Buongiorno’s nanofluid model has been used to model the flow governing equations. The stretching surface is embedded in a porous medium. By using similarity transformations, the nonlinear partial differential equations are transformed into a set of dimensionless ordinary differential equations. The numerical solution of transformed dimensionless equations is achieved by applying the shooting procedure together with Rung-Kutta 4th-order method… More >

N.Vijaya^a,* , P. Krishna Jyothi^b, A. Anupama^c, R. Leelavathi^d, K. Ambica^e

Frontiers in Heat and Mass Transfer, Vol.17, pp. 1-8, 2021, DOI:10.5098/hmt.17.23

Abstract The main intention of this study is to explore Maxwell fluid under the influence of thermophoresis and buoyancy forces induced by exponentially stretching sheet under chemical reaction. Cattaneo –Christov heat flux model is used to explore heat and mass characteristics with variable magnetic field, and chemical reaction. Variables of similarity were induced to transmute partial differential equations into dimensionless equations and are resolved numerically by elegant method bvp 4c. Behavior of various critical parameters on velocity, temperature and concentrations is graphically presented and discussed. Non Newtonian nature of the Maxwell fluid is clearly explored by More >

P. Bala Anki Reddy^a,*, S. Suneetha^b

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-9, 2018, DOI:10.5098/hmt.10.7

Abstract This work concentrates on the effects of homogeneous-heterogeneous chemical reactions on MHD boundary layer flow of Casson fluid over a stretching surface. Cattaneo-Christov heat flux model is considered instead of classical Fourier’s law to explore the heat transfer phenomena. Appropriate similarity transformations are used to convert the governing partial differential equations into a system of coupled non-linear differential equations. The resulting coupled non-linear differential equations are solved numerically by using the fourth order Runge-Kutta method with shooting technique. The impact of significant parameters on velocity, temperature, concentration, skin friction coefficient and the Nusselt number are More >

Mengchen Zhang^a , Hui Chen^b,*, Ming Shen^a

Frontiers in Heat and Mass Transfer, Vol.11, pp. 1-7, 2018, DOI:10.5098/hmt.11.21

Abstract The time fractional Cattaneo-Christov flux heat model is first introduced to investigate the flow and heat transfer of Maxwell viscoelastic fluid past a vertical flat plate. Fractional constitutive relation and Cattaneo-Christov heat flux model are applied to construct the governing boundary layer equations of momentum and energy, which are nondimensionalized by new dimensionless variables and solved numerically. The results indicate that there exist intersections on velocity and temperature profiles for different values of Prandtl number when the fractional Cattaneo-Christov flux heat model is considered. More >

P. Bala Anki Reddy^a , B. Mallikarjuna^b,*,K. Madhu Sudhan Reddy^a

Frontiers in Heat and Mass Transfer, Vol.11, pp. 1-10, 2018, DOI:10.5098/hmt.11.5

Abstract In this paper, a mathematical model has been developed to analyze the double diffusive convective flow of Casson fluid over an inclined stretching sheet with Cattaneo-Christov Heat Flux model. The velocity slip is considered over the surface of the stretching sheet as well. The governing equations for the pertinent model are transformed into non-dimensional highly coupled nonlinear differential equations using similarity transformations. The implicit finite difference method is used to carry out the numerical results and presented the graphs for different values of the physical parameter, Casson fluid parameter, and thermal relation time parameter, chemical… More >

Z. Iqbal, Ehtsham Azhar^* , E. N. Maraj, Bilal Ahmad

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-7, 2017, DOI:10.5098/hmt.8.25

Abstract Present investigation represent the study of Cattaneo-Christov heat flux model on boundary layer flow of hyperbolic tangent fluid which is generalized non-Newtonian fluid model over a continuously moving porous surface with a parallel free stream velocity. Mathematical formulation is completed in the presence of Magneto-hydrodynamics (MHD). Suitable relations transform the partial differential equations into the ordinary differential equations. Nonlinear flow analysis is computed and velocity and temperature profiles are obtained by shooting algorithm. Graphs are plotted to analyze the behavior of various involved physical parameters. Furthermore both type of flows Sakaidis ( λ = 1) and More >

B. Ahmad^*, Z. Iqbal

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-6, 2017, DOI:10.5098/hmt.8.22

Abstract We examine the behavior of Cattaneo-Christov heat flux model for two-dimensional incompressible flow of Eyring Powell fluid passed over an exponentially stretching sheet. Mathematical formulation is performed by assuming boundary layer approximation. Cattaneo Christov heat flux model is applied to analyze the heat transport phenomenon. Thermal relaxation time is envisaged on the layer induced due to boundary. The governing Partial Differential equations are converted into Ordinary differential equations by the appropriate use of similarity transformation. Shooting approach is used to tackle the obtained boundary layer equations. The effects of obtained similarity parameters are plotted and More >

Machireddy Gnaneswara Reddy^a,*, Gorla Rama Subba Reddy^b

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-9, 2017, DOI:10.5098/hmt.8.20

Abstract The objective of the present communication is to study the problem of micropolar fluid flow with temperature dependent thermal conductivity over a nonlinear stretching convective vertical surface in the presence of Lorentz force and viscous dissipation. Due to the nature of heat transfer in the flow past vertical surface, Cattaneo-Christov heat flux model and Joule heating effects are properly accommodated in the energy equation. The governing partial differential equations for the flow and heat transfer are converted into a set of ordinary differential equations by employing the acceptable similarity transformations. Runge-Kutta and Newton’s methods are More >

M. Sathish Kumar^a , N. Sandeep^a,*, B. Rushi Kumar^a , J. Prakash^b

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-8, 2017, DOI:10.5098/hmt.8.8

Abstract In this study, a numerical investigation is performed to analyse the flow and heat transfer characteristic of magnetohydrodynamic Casson fluid flow past a semi-infinite stretching surface in the presence of Cattaneo – Christov heat flux and nonlinear thermal radiation. Appropriate transformations are employed to reduce the governing partial differential equations into ordinary differential equations. Further, solutions of the ordinary differential equation are obtained with the aid of Runge- Kutta based shooting technique. The effect of various non- dimensional governing parameters on velocity and temperature fields for suction and injection cases are discussed with the help More >