Page 39 - POSTER FYP MAC-OGOS 2025

SOLVING BRINKMAN MODEL USING RUNGE-KUTTA-
FEHLBERG-FOURTH-FIFTH (RKF45) METHOD FOR HEAT
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TRANSFER PROBLEM PASSING OVER HORIZONTAL A T K242/40
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CIRCULAR CYLINDER P A S S I N G O V E R H O R I Z O N T A L
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Supervisor:
Dr. Siti Farah Haryatie Binti Mohd Name: Anis Aqilah Binti Jalani
Kanafiah 2022850398
ABSTRACT PROBLEM
STATEMENT OBJECTIVES
Research Project: Solving the Brinkman
Brinkman model equations are
model with constant wall temperature. To convert the PDEs into
too complex to solve directly.
Methodology: PDEs transformed into dimensionless forms.
Non-dimensional variables and To transform the PDEs into
non-dimensional form, then converted
non-similarity transformation ODEs at lower stagnation
into ODEs, and solved using RKF45
are used to simplify the point.
method in Maple software.
equations. To solve the ODEs using
Results: Increasing in Brinkman and
The RKF45 method with the RKF45 method in Maple
mixed convection parameters lead to
help of Maple software is software.
increases in velocity and decreases in
chosen in solving the ODEs. To validate the result.
temperature.

RESULTS AND DISCUSSIONS

METHOD AND IMPLEMENTATION

Velocity profile

Temperature profile

solved by

RKF45 in Maple

software

Non-dimensional

variables

CONCLUSION

RECOMMENDATION

Non-similarity transformation Velocity increases Use different

as both Γ and λ geometries.

increase. Perform sensitivity

Temperature analysis.

decreases as Γ and λ Include nanofluids in

increase. the model.