标题：Applications of activation energy along with thermal and exponential space-based heat source in bioconvection assessment of magnetized third grade nanofluid over stretched cylinder/sheet
摘要：This research presents the bioconvection flow of third grade nanofluid confined by a stretched cylinder in presence of thermal radiation, heat absorption/generation phenomenon, activation energy and exponential space-based heat source. The famous Buongiorno nanofluid is used applications to access the Brownian motion and thermophoresis effects. The problem is formulated in terms of partial differential equations by using the fundamental laws. The dimensionless form of problem is obtained equations by using suitable transformation. Later on, the numerical outcomes for the couple of discretized system are obtained by employing the powerful numerical shooting algorithm. Since this investigation is based on some theoretical flow assumptions, therefore each physical parameter specified some constant range like 0.1 ≤ β 1 ≤ 1.2 , 0.4 ≤ β 2 ≤ 1.2 , 0.1 ≤ β 3 ≤ 1.2 , 0.2 ≤ R e ≤ 0.8 , 0.1 ≤ λ ≤ 1.4 , 0.1 ≤ M ≤ 1.2 , 0.1 ≤ N r ≤ 1.2 , 0.1 ≤ N c ≤ 1.3 , 0.0 ≤ R d ≤ 0.8 , 2.0 ≤ P r ≤ 5.0 , 0.1 ≤ N b ≤ 0.25 , 0.1 ≤ N t ≤ 0.4 , 1.5 ≤ θ w ≤ 1.8 , 1.2 ≤ L e ≤ 2.4 , 0.1 ≤ E ≤ 0.4 , 1.2 ≤ L b ≤ 2.4 , 0.1 ≤ P e ≤ 1.2 , 0.1 ≤ δ 1 ≤ 0.6 , 0.1 ≤ λ 1 ≤ 0.4 , . 0.1 ≤ λ 2 ≤ 0.4 , 0.2 ≤ λ 3 ≤ 0.5 . The physical significance of prominent parameters versus subjective flow profiles are graphically underlined with physical justifications. It is observed that presence of exponential space-based heat source and heat source parameter is more useful to improve the nanofluid temperature. An increment in nanofluid concentration is observed with solutal Biot number and activation energy parameter. Moreover, the microorganisms profile decline with bioconvection Lewis number while reverse trend is observed for microorganism stratification Biot number.
