On Generalized Fourier’s and Fick’s Laws in Bio-Convection Flow of Magnetized Burgers’ Nanofluid Utilizing Motile Microorganisms

Abstract

This article describes the features of bio-convection and motile microorganisms in magnetized Burgers’ nanoliquid flows by stretchable sheet. Theory of Cattaneo–Christov mass and heat diffusions is also discussed. The Buongiorno phenomenon for nanoliquid motion in a Burgers’ fluid is employed in view of the Cattaneo–Christov relation. The control structure of governing partial differential equations (PDEs) is changed into appropriate ordinary differential equations (ODEs) by suitable transformations. To get numerical results of nonlinear systems, the bvp4c solver provided in the commercial software MATLAB is employed. Numerical and graphical data for velocity, temperature, nanoparticles concentration and microorganism profiles are obtained by considering various estimations of prominent physical parameters. Our computations depict that the temperature field has direct relation with the thermal Biot number and Burgers’ fluid parameter. Here, temperature field is enhanced for growing estimations of thermal Biot number and Burgers’ fluid parameter.

Forecast of sales of selected food products in retail using Fourier series analysis and non-linear regression

“…When forecasting future seasonality by Fourier series, the sum of squared errors (SSE) was smaller than SSE when using the ARIMA model. The study by Yukseltan et al (2020), Alshomrani (2020) and Shao (2014) also provided similar proof of accuracy, while also emphasizing the speed of calculation through MatLab. In addition to the mentioned advantages, the previous study together with research from Lange et al (2021), brings another advantage of using spectral methods and their relatively good reliability in creating long-term forecasts.…”