Template-Type: ReDIF-Article 1.0
Author-Name:Atifa Latif, Saman Iftikhar, Hadia Ali, Syed Sheraz Asghar
Author-Email:aatifalatif@gmail.com
Author-Workplace-Name:Department of Mathematics, GC University Faisalabad Pakistan, Faculty of Computer Studies, Saudi Arabia, Arab Open University, Jeddah, Saudi Arabia
Title:MatLab Bvp4c Technique to Compute Thermophoresis and Brownian Motion in Nanofluid Flow Over a Transient Stretching Sheet
Abstract:This physical phenomenon examined the transport mechanisms of heat and mass within a nanofluid thin film. The nanofluid thin film is situated over an unsteady stretching sheet, which is one of the pioneering contributions to the field,focusing specifically on the  flow  dynamics  of  nanofluid  thin  films.  This  foundational  framework  is  established  by Buongiorno’s  fluid model.  The  mathematical model is applied for the evaluation of the nanofluid film, whichadeptly weaves in significant phenomena,including Brownian motion as  well  as  thermophoresis.  The  mathematical  model  is  achieved  in  the  form  of  non-linear partial differential equations (PDEs) for computation with the help of computer applications. Firstly, the analytical framework of similarity transformations is applied tonon-linear PDEs to convert them into ordinary differential equations (ODEs). Secondly, these ODEs have been critically examined and prepared for coding in MatLab by reducing their high order into first order.  The  software  Mathematica  and  MatLab  have been employed  to  solve  the  boundary value problem (BVP). The built-in BVP4c solver is applied to obtain accurate solutions in the form of graphs and numerical values.The current analysis yields significant results revealing that  both  the  free  surface  temperature  and  the  volume  fraction  of  nanoparticles  tend  to increase  in  response  to  variations  in  both  unsteady  conditions  and  magnetic  parameters. Furthermore,  the  outcomes  demonstrate  that  the  interaction  among  diverse  nanofluid variables with the phenomenon of viscous energy loss contributes to a reduction in the overall heat transfer rate. The potential effect of these proficient thermal management techniques is crucial, especiallyin microelectronics and energy systems.
Keywords:Bvp4c   approach,   Lobato-IIIA,   Computer   Applications,   MatLab   Solver, Mathematica NDSolve, Nano fluid, Heat transfer, Boundary layer, Unsteady Stretching sheet, Mass transfer
Journal: International Journal of Innovations in Science and Technology
Pages:2171-2183
Volume:7
Issue:3
Year: 2025
Month:September
File-URL:https://journal.50sea.com/index.php/IJIST/article/view/1554/2157
File-Format: Application/pdf
File-URL:https://journal.50sea.com/index.php/IJIST/article/view/1554
File-Format: text/html
Handle: RePEc:abq:IJIST:v:7:y:2025:i:3:p:2171-2183