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In the current scenario a new mathematical model is designed and examined for the unsteady course of nanofluid through permeable vertical surface due to the interaction of inclined magnetic field. Radiative heat transfer properties is included assuming the Cogley radiation, dissipative heat energy due to the conjunction o magnetic field i.e., Joule dissipation and the space and time-dependent heat source/sink amplifies the study as well. Depending upon todays need in various industries the implementation of nanofluid is vital. Therefore, present study involves the behavior of both metal and oxide nanoparticles in the base fluid kerosene. Involvement of transformation rules the problem is converted into nonlinear set of ODEs and further these are solved employing approximate analytical technique such as Variational Iteration Method (VIM). The characteristics of various flow parameters are analyzed via graphs and the numerical simulation along with the validation of the result is obtained through tables. The comparative study brings out the convergence criterion of the methodology adopted herein. However, the favorable results are; the fluid temperature augments with increasing nanoparticle volume fraction and suction enriches both the fluid velocity and temperature whereas injection retards it significantly.

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This manuscript is a mathematical expression for micropolar nanofluid flow phenomena past a stretching permeable sheet. Here, the micropolar nanofluid, which is water and kerosene based, contains Copper nanoparticles. The similarity approach has been adopted to obtain the ordinary differential equations from the respective basic equations. Using an analytical method, that is, the Adomian decomposition method (ADM), the nonlinear coupled ordinary equations are solved. From the computational aspect, it is ensured that results of shooting technique and ADM (present method) yield same results for special cases. Computations are obtained for velocity, microrotation, and temperature profiles for different pertinent parameters along with skin friction and Nusselt number. The major outcomes are: the Cu‐water nanofluid velocity dominates over the Cu‐kerosene nanofluid velocity and temperature and further, thermal radiation is favorable to enhance the fluid temperature.

The present investigation reveals the non-Newtonian flow characteristics for the Williamson nanofluid through a parallel channel due to the conjunction of thermal buoyancy. As a good conductor of heat, the metal like Copper is treated as the nanoparticles submerged into the base fluids water and kerosene to perform the flow phenomena within the channel embedding with the porous medium. For the involvement of the applied magnetic field and permeability it is not wise to neglect the impact of dissipative heat energy. Therefore, both the Joule and the Darcy dissipations are also considered those are affecting the thermal properties. The model is developed considering the Mintsa model thermophysical properties of conductivity and the Gharesim model viscosity for the enhancement of heat transport properties. In various industrial as well as engineering applications nanofluids are used as a best coolant. The use of suitable similarity variables and stream function helps to transform the governing nonlinear differential equations into nonlinear ordinary. Further, an approximate analytical approach such as Adomian Decomposition Method is used to handle those transformed equations. The current outcomes obtained from the behavior of various flow characteristics are presented via graphs and table to validate the results. The observation shows that with an augmentation in the particle concentration, fluid velocity retards however the retardation in case of water-based nanofluid overrides the case of kerosene-based nanofluid. Further, particle concentration enriches the nanofluid temperature greatly in comparison to pure fluid.