Fatinnabila Kamal
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Preferred name
Fatinnabila Kamal
Official Name
Fatinnabila, Kamal
Alternative Name
Kamal, Fatinnabila
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Scopus Author ID
57204171852
Researcher ID
FDL-9665-2022

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Stability analysis on stagnation-point flow and heat transfer towards a permeable stretching/shrinking sheet with heat source in a casson fluid

2020-01-01 , Yashkun U. , Fatinnabila Kamal , Wan Mohd Khairy Adly Wan Zaimi , Nor Ashikin Abu Bakar , Norshaza Atika Saidin

This paper deals with a stagnation-point boundary layer flow and heat transfer of a Casson fluid towards a stretching/shrinking sheet. The main objective of the present study is to analyse the effects of the injection parameter and heat source on the velocity and temperature profiles as well as the skin friction coefficient and the Nusselt number. It is vital to study the heat transfer and fluid flow problems in the presence of injection and heat source effects due to a wide variety of applications in engineering and industry. The governing nonlinear partial differential equations are transformed into a system of nonlinear ordinary differential equations by using similarity transformation, before being solved numerically using the boundary value problem solver bvp4c routine in MATLAB. Dual solutions are found to exist for the shrinking sheet case, whereas the solution is unique for the stretching case. The stability analysis has been performed to determine the stable solution. It is shown that the first solutions are stable and physically reliable while the second solutions are not. Further, the present results have been compared with the previous published results for a particular case and the comparisons are found to be in good agreement. The local Nusselt number is decreases with an increase in heat source parameter. Rising values of the injection parameter has decreases both the skin friction coefficient and the local Nusselt number.

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Stability analysis on convection boundary layer stagnation-point flows over a permeable stretching/shrinking surface

2019 , Fatinnabila Kamal

In this thesis, several problems of convection boundary layer flow and heat transfer towards a stretching/shrinking surface along with stability analysis for viscous, nanofluid and micropolar fluids are investigated. There are five problems considered, namely (i) stagnation-point flow and heat transfer over a permeable stretching/shrinking sheet with heat source effect; (ii) magnetohydrodynamic stagnation-point flow towards a permeable stretching/shrinking sheet with slip and heat source/sink effects; (iii) effect three-dimensional stagnation-point flow and heat transfer over a permeable stretching/shrinking sheet with heat source effects in viscous fluid; (iv) MHD stagnation-point flow towards a permeable stretching/shrinking sheet in a nanofluid with chemical reaction; and (v) stagnation-point flow and heat transfer in a micropolar fluid towards a nonlinearly permeable stretching/shrinking sheet. The study starts with the formulations of the mathematical models for every problems. Next, in solving these problems, the governing nonlinear partial differential boundary layer equations are transformed into ordinary differential equations using similarity transformations before being solved numerically using the boundary value problem solver, bvp4c built in Matlab software. The numerical results are then presented in tables and graphs for the skin friction coefficient, the local Nusselt number and the local Sherwood number as well as the velocity, temperature and concentration profiles. The effects of governing parameters have been analysed such as the heat source parameter, the chemical reaction parameter, the suction/injection parameter, the micropolar parameter and the stretching/shrinking parameter. It is observed that the suction/injection effect increase the skin friction coefficient, the local Nusselt number, and the local Sherwood number. Heat source effect has decrease the heat transfer rate. Furthermore, the effect of chemical reaction effect has decrease the local Sherwood number while Micropolar parameter has decrease the skin friction coefficient and heat transfer rate. Further, dual solutions are found for a certain range of the stretching/shrinking parameter. A stability analysis has been carried out to determine which solution is stable for dual solutions exist in all problems considered. The first solution is found to be stable and physically reliable, whereas the second solution is unstable as time passes, thus impractical in the real world applications for a long run.

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