Numerical study has been performed to investigate the effects of location and height for the partitions located on the bottom wall of a square enclosure filled with porous media. This study starts considering the simplest enclosure with two partitions. The partitions are non-uniformly heated. The left and the top wall are cooled while the right and the bottom wall are adiabatic well. The location and height of two partitions are considered. The interested parameters are Darcy number (Da) from 10 −5 to 10 −1 , the value of Rayleigh number(Ra) is fixed at 10 5 and the Prandtl number (P r) is 0.71. The results are presented in forms of streamlines, isotherms and heatlines. It can be found that the flow field is single cell when the height of the partitions is less than 0.5. The flow field and heat transfer increase when the value of Darcy number is increased.
The objectives of these mixed methods were to 1) improve students’ performance in calculus by using GeoGebra software and 2) investigate students’ experiences with and perspectives on using GeoGebra software in calculus. The participants were 58 mathematics teacher students at a university in Thailand. The instruments in this study were a test; this was called the Calculus Achievement Test (CAT), which consists of limits and continuity; a derivative of function; and its application; and a questionnaire with an interview with a student. The statistics for qualitative data were gathered from instruction; we used percentages, mean scores, standard deviations, and a one-sample t-test; while quantitative data was gathered from students’ reflections and interviews. The results showed: 1) the results of the one-sample t-test show that using GeoGebra Software in Calculus is effective in students’ performance; 2) the data, the quantitative findings show that students were more interested and excited during the intervention. Students could better show their creativity and learn about themselves because of the intervention. Teaching calculus with GeoGebra embedded is a good and effective way to do things. The finding shows a good chance of developing technology-integrated math curricula for teaching and learning calculus.
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