A B S T R A C T The current attempt focuses on the two-dimensional nonlinear stagnation point flo... more A B S T R A C T The current attempt focuses on the two-dimensional nonlinear stagnation point flow of Walter-B liquid past an impermeable stretching sheet. Heat transport phenomenon is reported through the consideration of stratification and temperature-dependent conductivity. Another important feature of heat transfer for Cattaneo-Christov flux is discussed. The proper transformations yield the strong nonlinear differential system computed by utilizing modern methodology through homotopy concept. Behavior of distinct dimensionless variables on the non-dimensional velocity, temperature and concentration are addressed graphically. The skin friction coefficient is calculated numerically and interpreted. It is reported that the thermal field is higher when temperature dependent conductivity is enhanced. Moreover the temperature distribution is higher in classical Fourier law when compared with the non-Fourier law.
The objective here is to examine the characteristics of non-Fourier flux theory in flow induced b... more The objective here is to examine the characteristics of non-Fourier flux theory in flow induced by a nonlinear stretched surface. Constitutive expression for an incompress-ible Walter-B liquid is taken into account. Consideration of thermal stratification and variable thermal conductivity characterizes the heat transfer process. The concept of boundary layer is adopted for the formulation purpose. Modern methodology for the computational process is implemented. Surface drag force is computed and discussed. Salient features of significant variables on the physical quantities are reported graphically. It is explored that velocity is enhanced for a larger ratio of rate constants. The increasing values of thermal relaxation factor correspond to less temperature.
A B S T R A C T This attempt reports the influence of variable thermal conductivity over an imper... more A B S T R A C T This attempt reports the influence of variable thermal conductivity over an impermeable surface stretching in a nonlinear manner. Flow formulation is developed considering stagnation point and rheological expressions of second grade liquid. Different from the traditional literature, a new concept of heat flux covering paradox of heat conduction is imposed. Such concept has been used in view of Cattaneo-Christov theory. Besides this first order chemical reaction and double stratification are also considered. The subjected problems are modeled first and then non-dimensionalized. Computations for highly nonlinear problems are presented. The derived expressions are acceptable for convergence. Velocity, temperature, concentration, skin friction and Sherwood number are described through graphs for meaningful discussion considering important variables. Our computed analysis reveals that impacts of local second grade parameter and ratio of velocities have similar behavior on velocity distribution. Moreover the consideration of variable thermal conductivity improves the temperature and associated thermal boundary layer thickness.
The characteristics of thermal stratification and temperature dependent thermal conductivity in t... more The characteristics of thermal stratification and temperature dependent thermal conductivity in two-dimensional (2D) stretched flow of second grade liquid are analyzed. Thickness of nonlinear stretching surface is variable. New model for heat flux by Cattaneo [2] and Christov [3] is utilized to capture the salient features of thermal relaxation time. Mathematical formulation is modeled employing boundary layer concept. Convergent series solution are obtained for the nonlinear systems. Outcoming results are presented graphically to discuss the characteristics of sundry parameters. Skin friction coefficient is tabulated and examined for various embedded parameters. Our analysis reveals that temperature distribution enhances via larger variable thermal conductivity parameter while it reduces for larger thermal relaxation time and thermal stratified parameters.
Here the influence of the non-Fourier heat flux in a two-dimensional (2D) stagnation point flow o... more Here the influence of the non-Fourier heat flux in a two-dimensional (2D) stagnation point flow of Eyring-Powell liquid towards a nonlinear stretched surface is reported. The stretching surface is of variable thickness. Thermal conductivity of fluid is taken temperature-dependent. Ordinary differential systems are obtained through the implementation of meaningful transformations. The reduced non-dimensional expressions are solved for the convergent series solutions. Convergence interval is obtained for the computed solutions. Graphical results are displayed and analyzed in detail for the velocity, temperature and skin friction coefficient. The obtained results reveal that the temperature gradient enhances when the thermal relaxation parameter is increased.
This investigation addresses the chemical reaction and double stratification effects in the flow ... more This investigation addresses the chemical reaction and double stratification effects in the flow induced by a nonlinear stretching surface with variable thickness. Flow formulation is developed using rheological expressions of Eyring-Powell liquid. Salient features of heat transfer are examined by considering non-Fourier heat flux model. Formulation is arranged for variable thermal conductivity. Flux model under consideration is the generalized form of Fourier's classical expression with thermal relaxation time. Ordinary differential systems are obtained through implementation of appropriate transformations. Convergent series solutions are constructed. Non-dimensional velocity, temperature, concentration, skin friction and Sherwood number are displayed and discussed. It is anticipated that thermal and concentration stratified parameters decay the temperature and concentration respectively.
A B S T R A C T The current attempt focuses on the two-dimensional nonlinear stagnation point flo... more A B S T R A C T The current attempt focuses on the two-dimensional nonlinear stagnation point flow of Walter-B liquid past an impermeable stretching sheet. Heat transport phenomenon is reported through the consideration of stratification and temperature-dependent conductivity. Another important feature of heat transfer for Cattaneo-Christov flux is discussed. The proper transformations yield the strong nonlinear differential system computed by utilizing modern methodology through homotopy concept. Behavior of distinct dimensionless variables on the non-dimensional velocity, temperature and concentration are addressed graphically. The skin friction coefficient is calculated numerically and interpreted. It is reported that the thermal field is higher when temperature dependent conductivity is enhanced. Moreover the temperature distribution is higher in classical Fourier law when compared with the non-Fourier law.
The objective here is to examine the characteristics of non-Fourier flux theory in flow induced b... more The objective here is to examine the characteristics of non-Fourier flux theory in flow induced by a nonlinear stretched surface. Constitutive expression for an incompress-ible Walter-B liquid is taken into account. Consideration of thermal stratification and variable thermal conductivity characterizes the heat transfer process. The concept of boundary layer is adopted for the formulation purpose. Modern methodology for the computational process is implemented. Surface drag force is computed and discussed. Salient features of significant variables on the physical quantities are reported graphically. It is explored that velocity is enhanced for a larger ratio of rate constants. The increasing values of thermal relaxation factor correspond to less temperature.
A B S T R A C T This attempt reports the influence of variable thermal conductivity over an imper... more A B S T R A C T This attempt reports the influence of variable thermal conductivity over an impermeable surface stretching in a nonlinear manner. Flow formulation is developed considering stagnation point and rheological expressions of second grade liquid. Different from the traditional literature, a new concept of heat flux covering paradox of heat conduction is imposed. Such concept has been used in view of Cattaneo-Christov theory. Besides this first order chemical reaction and double stratification are also considered. The subjected problems are modeled first and then non-dimensionalized. Computations for highly nonlinear problems are presented. The derived expressions are acceptable for convergence. Velocity, temperature, concentration, skin friction and Sherwood number are described through graphs for meaningful discussion considering important variables. Our computed analysis reveals that impacts of local second grade parameter and ratio of velocities have similar behavior on velocity distribution. Moreover the consideration of variable thermal conductivity improves the temperature and associated thermal boundary layer thickness.
The characteristics of thermal stratification and temperature dependent thermal conductivity in t... more The characteristics of thermal stratification and temperature dependent thermal conductivity in two-dimensional (2D) stretched flow of second grade liquid are analyzed. Thickness of nonlinear stretching surface is variable. New model for heat flux by Cattaneo [2] and Christov [3] is utilized to capture the salient features of thermal relaxation time. Mathematical formulation is modeled employing boundary layer concept. Convergent series solution are obtained for the nonlinear systems. Outcoming results are presented graphically to discuss the characteristics of sundry parameters. Skin friction coefficient is tabulated and examined for various embedded parameters. Our analysis reveals that temperature distribution enhances via larger variable thermal conductivity parameter while it reduces for larger thermal relaxation time and thermal stratified parameters.
Here the influence of the non-Fourier heat flux in a two-dimensional (2D) stagnation point flow o... more Here the influence of the non-Fourier heat flux in a two-dimensional (2D) stagnation point flow of Eyring-Powell liquid towards a nonlinear stretched surface is reported. The stretching surface is of variable thickness. Thermal conductivity of fluid is taken temperature-dependent. Ordinary differential systems are obtained through the implementation of meaningful transformations. The reduced non-dimensional expressions are solved for the convergent series solutions. Convergence interval is obtained for the computed solutions. Graphical results are displayed and analyzed in detail for the velocity, temperature and skin friction coefficient. The obtained results reveal that the temperature gradient enhances when the thermal relaxation parameter is increased.
This investigation addresses the chemical reaction and double stratification effects in the flow ... more This investigation addresses the chemical reaction and double stratification effects in the flow induced by a nonlinear stretching surface with variable thickness. Flow formulation is developed using rheological expressions of Eyring-Powell liquid. Salient features of heat transfer are examined by considering non-Fourier heat flux model. Formulation is arranged for variable thermal conductivity. Flux model under consideration is the generalized form of Fourier's classical expression with thermal relaxation time. Ordinary differential systems are obtained through implementation of appropriate transformations. Convergent series solutions are constructed. Non-dimensional velocity, temperature, concentration, skin friction and Sherwood number are displayed and discussed. It is anticipated that thermal and concentration stratified parameters decay the temperature and concentration respectively.
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