Page 34 - POSTER FYP MAC-OGOS 2025

ANIS AQILAH
CONVECTIVE HEAT TRANSFER AT THE LOWER

BINTI MOHD

STAGNATION POINT OF A HORIZONTAL NOOR

MADAM CIRCULAR CYLINDER IN JEFFREY NANOFLUID

FARAHANIE FAUZI K242/35

ABSTRACT

Using Jeffrey nanofluid, this study examines convective heat transport at lower stagnation point of a horizontal circular cylinder. The study aims to

understand how the addition of nanoparticles and fluid properties influence velocity and temperature near the cylinder surface. The mathematical model

have been reduced by non-dimensional and non-similarity transformation. The equation was reduced from partial differential equations (PDEs) to

ordinary differential equations (ODEs). Then, when x approaches to zero, the simplified equations are solved using the Runge-Kutta Fehlberg method

with the help of Maple software. The findings reveal that raising the nanoparticle volume fraction improves both velocity near the wall and temperature

distribution. This showing better heat transfer performance. However, raising the Jeffrey parameter causes the fluid to slow down and accelerates the

temperature drop away from the wall. Overall, this research contributes to a better understanding of how advanced fluids behave in engineering, which

can be valuable for enhancing cooling systems in electronics and industrial machinery.

PROBLEM STATEMENT OBJECTIVES

Researchers are looking into more efficient options because To simplify the Jeffrey nanofluid model (PDE) into simpler form (ODE)

conventional fluids frequently fail because of the rising needs for by using non-dimensional and non-similarity transformation.

thermal control. To solve the simplified ODE using Runge-Kutta Fehlburg (RKF45)

The problem faced is to solve a complex equation. It is difficult to To analyze the affect of nanoparticle volume fraction parameter and

simplify and solve the governing partial differential equations (PDEs) Jeffrey fluid parameter on velocity and temperature.

that describe the fluid flow and thermal behavior.

RESULTS AND DISCUSSION

METHODOLOGY AND IMPLEMENTATION

The parameters that are focused on are nanoparticle volume fraction (φ ) and

Jeffrey fluid parameters (λ2) towards velocity and temperature. The Runge-

Kutta Fehlberg technique (RKF45) in Maple software is used to solve nonlinear

ordinary differential equations and the boundary conditions of equation

Boundary condition:

Non-dimensional variables:

Non-similarity variables:

The non-dimensional variables are substituted into continuity, momentum, energy Figure (a) shows that when the value of φ increases, the fluid reaches its

equation and boundary condition: maximum speed more quickly. This means that a higher φ causes the fluid to

move faster near the surface. Figure (b) shows that when φ increases, the

temperature drops faster. This means that heat does not spread as far into the

fluid when φ is larger.

Boundary condition:

After non-dimensional transformation, these equation and boundary condition

are non-similarity transformed using non-similarity variables.

In Figure (a), we can see that as λ2 increases, the fluid velocity also increases.

This means that the fluid moves faster near the surface. The graph in Figure (b)

indicates that the temperature increase when the Jeffrey fluid parameter λ2

increases. This shows that the fluid holds heat better and the heat takes longer to

escape into the surrounding.

CONCLUSION

Boundary condition: This study clarifies the ways in which fluid characteristics and nanoparticle

concentration impact heat transport.

These results can be applied to the construction of more effective cooling

systems in the energy, automobile, and electronics sectors.

Since this research focus on the analysis at lower stagnation point, the Although this study is theoretical and numerical, it lays a strong foundation for

equations are simplified to describe the flow patterns near this region. These future experimental investigations and real-world applications.

equations lead to the following ordinary differential equations applicable at

lower stagnation point where x approaches zero.

RECOMMENDATIONS

Since this study is theoretical and uses numerical methods, future researchers

must do the lab test to see whether the result is in line.

Instead of using the CWT boundary condition, other boundary condition such as

Boundary condition:
CHS and CBC can be test to see how they affect the heat transfer.

Apart from RKF45, other methods are also effective in achieving the results.

Further study also can compare the findings of earlier studies using alternative

After that, these equation are solved using Runge-Kutta method with the help non-Newtonian fluids other than Jeffrey nanofluid on a different geometry than

of Maple. horizontal circular cylinder.