Partial diferential equations modeling of bio‑convective sutterby nanoluid low through paraboloid surface

Faculty Engineering Year: 2023
Type of Publication: ZU Hosted Pages:
Authors:
Journal: scientific reports Nature Volume:
Keywords : Partial diferential equations modeling , bio‑convective sutterby nanoluid low through    
Abstract:
In this research article, the behavior of 2D non‑Newtonian Sutterby nanoluid low over the parabolic surface is discussed. In boundary region of surface buoyancy‑driven low occurred due to considerable temperature diferences produced by the reaction happen between Sutterby nanoluid and catalyst at the surface. Free convection which is sighted easily on the parabolic surface is initiated by reaction on the catalyst surface modeled the 1st order activation energy. Applications of parabolic surfaces are upper cover of bullet, car bonnet, and air crafts. Under discussion low is modelled mathematically by implementing law of conservation of microorganism’s concentration, momentum, mass and heat. The governing equations of the system is of the form of non‑linear PDE’s. By the use of similarity transform, the governing PDE`s transformed as non‑dimensional ODE’s. The resultant system of non‑dimensional ODE’s are numerically solved by built‑in function MATLAB package named as ‘bvp4c’. Graphical representation shows the inluence of diferent parameters in the concentration, velocity, microorganisms and temperature proiles of the system. In temperature proile, we examined the impact of thermophoresis coeicient Nt (0.1, 0.5, 1.0), Prandtl number Pr (2.0, 3.0, 4.0), and Brownian motion variable Nb (0.1, 0.3, 0.5). Velocity proile depends on the non‑dimensional parameters i.e. (Deborah number De & Hartmann number Ha) and found that these numbers (De, Ha) cause downfall in proile. Furthermore, mass transfer, skin friction, and heat transfer rates are numerically computed. The purpose of the study is to enumerate the signiicance of parabolic surfaces for the transport of heat and mass through the low of bio‑convective Sutterby nanoluid.
   
     
 
       

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