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Numerical Heat Transfer and Fluid Flow

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The corresponding boundary conditions are written as. By taking w times derivatives of Eqs. The general solution of Eqs. The purpose of this study is to enhance the heat and mass diffusion by choosing a thin-layer spray of the Casson nanofluid over a stretching cylinder. The physical configuration of the problem is shown in Figure 1. The solution of the problem has been obtained using the homotopy approach, and the main features for the convergence h-curves of homotopy analysis method HAM have been shown in Figures 2 and 3.

These figures demonstrate the h-curves for velocity, temperature, and concentration fields, respectively. The similar effect for the rising values of N r can be seen in Figure 4. In Figure 6 , the behavior of the thermophoretic parameter N t and Reynolds number Re is observed over the field of temperature.

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The larger amount of thermophoresis parameter N t depreciates temperature profile because rising values of N t enhance the concentration profile due to its direct relation and its product in the model equation increases the cooling effect to reduce the temperature field.

The larger quantity of Re reduces temperature field. Rising values of Reynolds number Re enhance the inertial forces. The powerful inertial forces kept the fluid particles tightly closed, and more heat energy is required to break down the bonds among these atoms.

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In other words the inertial forces raise the boiling point of the fluid, and more heat energy is required to enhance the temperature. Figure 7 shows the influences of thermophoretic parameter N t and Brownian motion parameter N b in concentration field. The larger amount of N b displays a falling performance against concentration field.

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The parameter N b is owing to the thinning of boundary layer because the random flow of liquid particles makes the decline in the concentration. The rising values of thermophoresis parameter N t enhance the concentration field. The reason behind this is that N t is in direct relation with concentration pitch, while the N b is in inverse relation to the concentration field.

Figure 8 represents the behavior of the concentration field with respect to Reynolds number Re and Lewis number Le. The larger amount of Re improves the concentration field. The reason is that larger values of Re generate the enhancement in the inertial forces to rise concentration field.

The concentration boundary layer is falling with the rising value of Lewis number Le.

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  • Numerical Analysis of Heat and Mass Transfer in Porous Media.
  • Convective Heat and Mass Transfer in Magneto Walter’s B Nanofluid Flow Induced by a Rotating Cone?
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The larger amount of the Reynolds number Re decreases the pressure distribution. The strong inertial effects packed the fluid particle tightly, and as a result the pressure distribution decreases. Table 1 shows the numerical values of the skin friction coefficient, local Nusselt number, and Sherwood number of various physical parameters. The thick boundary layer increases friction force and improves the cooling effect.

Therefore, the Nussselt and Sherwood numbers are increased. The Reynolds number Re decreases the fluid flow due to inertial forces.


Numerical Analysis of Heat and Mass Transfer in Porous Media |

The heat and mass transfer effect of a thin film over the extended surface of a cylinder has been explored in the recent research. The spray phenomenon has been studied in the form of velocity, temperature, concentration, and pressure distribution profiles, respectively. The similarity transformation has been used to alter the governing equations into the set of nonlinear differential equations.

The solution of the problems has been obtained through the homotopy analysis method HAM. The impact of the embedded parameters has been examined and discussed.

Lecture 22 (2014). Fundamentals of convection heat transfer (2 of 3). Boundary layers

Similarly, the Nusselt number and the Sherwood number are also increasing. The greater amount of the Brownian motion parameter N b declines the concentration field. The reason is that the rising values of N b improve the thinning of the fluid layer and as a result the concentration profile reduces. For other cases one has no easy means but to solve the problem must depend on numerical solutions. Fluid Flow Heat and Mass Transfer at Bodies of Different Shapes Numerical Solutions presents the current theoretical developments of boundary layer theory a branch of transpor.

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