In this study, the effect of an inclined magnetic field and a non-uniform heat source sink on a double diffusive convective stagnation point flow in a slender stretching sheet is studied. The suitable similarity transformations are utilized for the conversion of nonlinear differential equations. These converted equations are solved by means of Differential Transformation method (DTM) with the support of symbolic software Mathematica. Further, the effects of appropriate parameter on velocity profile, solute, nanoparticle concentration and temperature profiles are shown graphically with some suitable discussion. It is found that velocity decreases with a rise of magnetic parameter and also non-uniform heat source sink enhances the thermal profile of the system. But, opposite behaviour can be seen in solute concentration and nanoparticle concentration profiles.Such results can be useful in design and structure of materials,where implementation of variable thickness decreases the weight of stretched element and boosts the usage of materials.

In the present paper, MHD non-aligned stagnation-point flow has been found to be interesting and innovative in the analysis of viscous nanofluids over a stretching surface with a convective boundary condition in presence of the porous medium. Due to its many engineering and industrial uses, such as cooling nuclear reactors during an emergency shutdown, soft sheet extrusion, metal spinning, and solar central receivers exposed to wind current, the study of oblique stagnation point flow is important. The suitable similarity transformation is utilized for the reduction of a set of governing equations, which are solved by using the Differential Transformation Method (DTM) with Maple software. The Nusselt number (Nux), skin friction (Cf), and Sherwood number (Shx) are tabulated. A strong agreement is seen, and the accuracy of the results tabulated using DTM and the numerical method (fourth-order Runge-Kutta-Fehlberg integration scheme) is illustrated. Further, velocity, temperature, and nanoparticle volume fraction profiles are shown graphically and studied various parameters. It is reported that the magnetic parameter reduces the axial and oblique velocity gradients while enhancing the temperature and volume fraction profiles. The porosity parameter reduces the axial and oblique velocity gradients while enhancing the temperature profile.

In the present analysis, we have discussed the mixed convective of flow over an exponential sheet in presence of induced magnetic field and surface roughness. The effects of hall current and chemical reaction on flow are also considered. The non-Newtonian model behavior is characterized by Casson nanofluid. The similarity transformations are employed for the transformation of partial differential equations into non-dimensional form and obtained equations are solved by employing the Differential transformation method (DTM). Further, the importance of various parameters on various profiles and gradients are explored graphically with some suitable discussion. At the wall, the small ($$\alpha$$ α ) and frequency ($$n$$ n ) parameters influence on gradients are illustrated.

In the present paper, the effects of an inclined magnetic field and a non-uniform heat source sink on a double diffusive convective stagnation point flow in a slender stretching sheet are studied. The suitable similarity transformation is utilized for the conversion of nonlinear differential equations. These converted equations are solved by means of Differential Transformation method (DTM) with the support of symbolic software Mathematica. Further, the effects of appropriate parameters on velocity profile, solute, nanoparticle concentration and temperature profiles are shown graphically with some suitable discussions. It is found that velocity decreases with a rise of magnetic parameter. Because applying the uniform magnetic field normal to the flow direction gives rise to Lorentz force. This force has the tendency to slow down the velocity of the fluid in the boundary layer. Also non-uniform heat source sink parameters enhance the thermal profile of the system. But, opposite behavior can be seen in solute and nanoparticle concentration profiles. Such results can be useful in design and structure of materials, where implementation of variable thickness decreases the weight of stretched element and boosts the usage of materials.