Radiation Effects on Inclined Magnetohydrodynamics Mixed Convection Boundary Layer Flow of Hybrid Nanofluids over a Moving and Static Wedge

Nowadays, hybrid nanofluids play an important role in heat transfer systems. They are a good alternative to increase the efficiency of heat transfer and save the energy. Thermal radiation and mixed convection flow of hybrid nanofluids past a permeable moving and stationary wedge were studied in this research. This research uses water as a base fluid to investigate the effects of silver (Ag) and magnesium oxide (MgO) nanoparticles. Similarity transformation techniques are used to convert the partial differential equations of hybrid nanofluids to ordinary differential equations, which is then solved numerically by applying the implicit finite difference Keller box method. The results of the research are illustrated graphically to show the behavior of velocity and temperature profiles, as well as skin friction and Nusselt number. Increasing the parameters of the aligned magnetic field, magnetic field interaction, mixed convection, and wedge angle parameter results in higher velocity profiles but lower temperature profiles. As the radiation parameter and the nanoparticle volume fraction increase, the temperature rises and the velocity decreases. With the exception of the radiation parameter, the skin friction and Nusselt number increase as the alignment angle of the magnetic field, the interaction of the magnetic field, the mixed convection, the wedge angle parameter, and the volume fraction of nanoparticle Ag and MgO rise. As a result of these findings, the velocity profiles and Nusselt numbers of moving wedges are higher, but the temperature profiles and skin friction are lower than those of stationary and moving against flow wedges. In addition, a comparison with previously published research is presented, with excellent agreement discovered. The results of this research will contribute to the field of knowledge in mathematics by bringing additional information for mathematician interested in future research on hybrid nanofluids

Carbon nanotubes flow on mixed convection of aligned magnetohydrodynamics over a static/moving wedge with convective boundary conditions

Nanotubes have been designed to be significantly larger than any other material, and these cylindrical carbon molecules have exceptional properties that are important for nanoscience and nanotechnology. Due to their exceptional thermal conductivity and mechanical and electrical properties, carbon nanotubes are used as additives to improve heat transfer in various industrial applications. The study analyzed a steady, two-dimensional, carbon nanotubes (CNTs) flow on aligned magnetohydrodynamics mixed convection over a static or moving wedge with convective boundary conditions. The CNTs used are single-wall carbon nanotubes (SWCNTs), multi-wall carbon nanotubes (MWCNTs), and water as the base fluid. The similarity transformation was used to reduce the partial differential governing equations into ordinary differential equations. Then, the reduced equations were solved using fourth-fifth order Runge– Kutta–Fehlberg and coded into Maple Software. The results of velocity and temperature profiles were illustrated graphically while the results of skin friction coefficient and Nusselt number were presented in tabulated data. It is found that the velocity profiles increase, and temperature profiles decrease when the angle of aligned magnetic field parameter, the interaction of magnetic parameter, convective parameter, and total angle of the wedge parameter number increase. For case where Biot number and volume fraction of nanoparticles parameters increase, the velocity profiles decrease, and temperature profiles increase. SWCNTs have increased skin friction and Nusselt numbers due to their higher density and thermal conductivity compared to MWCNTs. The finding of this study will benefit the who works in research and development in a range of industries and the mathematics body of knowledge as it provides new information to people who are interested in this field

Konsepsi matematik dalam kalangan pelajar Diploma Sains Aktuari / Roselah Osman

Kajian ini bertujuan untuk mengenal pasti konsepsi tentang matematik yang dipunyai oleh pelajar Diploma Sains Aktuari. Secara khusus, kajian ini dijalankan untuk meneliti pengetahuan yang dimiliki oleh pelajar tentang makna matematik, makna pembelajaran matematik, kegunaan matematik dalam kehidupan seharian, dan proses pembelajaran matematik. Peserta kajian terdiri daripada lima orang pelajar Diploma Sains Aktuari yang dipilih menggunakan kaedah persampelan bertujuan jenis variasi maksimum. Kajian yang berlandaskan perspektif bersepadu sejagat ini menggunakan reka bentuk kajian kes. Data dikumpul melalui teknik temu duga klinikal, manakala instrumen kajian pula membabitkan empat jenis protokol temu duga klinikal. Peserta kajian ditemu duga seorang demi seorang sebanyak lima kali dalam masa empat bulan. Setiap sesi temu duga dirakam secara audio dan video yang mengambil masa selama 40 minit hingga 60 minit. Sebagai tambahan, penganalisisan data melibatkan empat tahap, iaitu transkripsi rakaman temu duga kepada bentuk bertulis, pembentukan kajian kes yang membabitkan pemerihalan tingkah laku peserta kajian tentang aspek matematik, penganalisisan merentas peserta kajian, dan pengenalpastian konsepsi pelajar Diploma Sains Aktuari tentang matematik. Hasil kajian menunjukkan pelajar Diploma Sains Aktuari mentafsirkan makna matematik sebagai suatu bentuk pengetahuan yang mengandungi kandungan yang khusus, memiliki kebenaran mutlak secara a priori, berguna dalam aktiviti sosial manusia, memiliki elemen keindahan dalam budaya tertentu, dan berpunca dari Tuhan, tetapi diperoleh oleh manusia daripada alam sekitar dan sejarah kehidupan manusia. Gabungan persepsi deria dan pengalaman empirikal membabitkan alasan logik atau pemikiran rasional dianggap penting dalam pembentukan dan pengembangan pengetahuan matematik. Dalam aspek makna pembelajaran matematik pula, pelajar Diploma Sains Aktuari mentafsirkannya sebagai suatu bentuk aktiviti menerima maklumat yang konsisten daripada persekitaran bilik darjah yang distrukturkan dengan rapi. Dua perkara utama dalam pembelajaran matematik antara lain berkait dengan perkembangan manusia seperti ahli matematik atau guru matematik dan pelajar, manakala imej pembelajaran matematik yang dibentuk pula berpusat kepada pengalaman kognitif, afektif, dan fizikal pelajar. Selain itu, berhubung dengan aspek kegunaan matematik dalam kehidupan seharian, konsepsi pelajar Diploma Sains Aktuari banyak menggambarkan saling hubungan matematik dengan alam sekitar dan manusia, manakala dalam aspek proses pembelajaran matematik pula, mereka meletakkan manusia dan teknologi sebagai dua sumber autoriti yang membantu dalam pembelajaran matematik. Secara ringkasnya, pelajar Diploma Sains Aktuari menggunakan perspektif bersepadu sejagat dalam mentafsirkan matematik. Bagaimana pun, pemahaman mereka tentang konsep matematik, proses pembelajaran matematik, dan penggunaan idea matematik yang betul kebanyakannya tertumpu kepada tahap pemahaman yang bersifat luaran atau permukaan berbanding dalaman. Kata kunci: Konsepsi, Pelajar Diploma Sains Aktuari, Matematik, Perspektif Bersepadu Sejagat