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The performance of mass transfer rate, friction drag, and heat transfer rate is illustrated in the boundary layer flow region via induced magnetic flux. In this recent analysis, the Buongiorno model is introduced to inspect the induced magnetic flux and radiative and convective kinetic molecular theory of liquid-initiated nanoliquid flow near the stagnant point. The energy equation is modified by radiation efficacy using the application of the Rosseland approximation. Through similarity variables, the available formulated partial differential equations are promoted into the nondimensional structure. The variation of the induced magnetic field near the wall goes up, and very far away, it decays when the size of the radiation characteristic ascends. The velocity amplitude expands by enlargement in the amount of the magnetic parameter, mixed convection, thermophoresis parameter, and fluid characteristic. The nanoparticle concentration reduces if the reciprocal of the magnetic Prandtl number expands. The temperature spectrum declines by enhancing the amount of the magnetic parameter. Drag friction decreases by the increment in the values of radiation and thermophoresis parameters. Heat transport rate increases when there is an increase in the values of Brownian and magnetic parameters. Mass transfer rate increases when there is incline in the values of the magnetic Prandtl and fluid parameter.

Improving the thermal efficiency of fluid flows under different conditions and applications has always been a famous research area. Besides, the significance of this issue because of the very wide range of applications in industries has made this area attractive to scientists and companies working in this field. To improve effectiveness, any solution proposed for this in any application can have different technical aspects that should be considered and investigated adequately [

There are many engineering applications of the mixed convective boundary layer flow such as food processing, solidification system, and nuclear reactors. Convection also plays an important role in managing the production cycle such as medications and cosmetics. The transverse magnetic field that merged with the boundary layer-mixed convection flow towards an inclined plate with a wave is examined. The retardation inflow far from the magnetic field and leading-edge yield acceleration in the leading-edge close flow of the wavy sheet is observed by Wang and Chi-Chang [

There are several uses of free convection in the presence of Lorentz forces, such as fire engineering and geophysics. Newly proposed nanotechnology is a new passive way to enhance heat transfer [

The radiation may be sunlight, infrared, or visible and the nature of the material emitted by such radiation depends on its exposure. Depending on how solar heat is collected and distributed or converted into solar electricity, a heat source and its systems are also categorized as either passive solar or active solar. Thermal radiations are defined as electromagnetic emissions from a sheet with a temperature greater than zero [_{2}O rotating hybrid nanofluid flow in the existence of partial slip radiation impacts. Hussain et al. [

The non-Newtonian fluid is more naturalistic to consider because of the rheological characteristics of physiological and industrial fluids. There is no extensive model that can describe the moving structure of all fluids due to the complex behavior of non-Newtonian fluids. Thus, to study non-Newtonian fluid flow characteristics, numerous models have been developed. The Eyring–Powell model was obtained from a liquid molecular hypothesis. And the inclusion of additional analytical constants was further improved. It accurately reflects the essence of Newtonian for low and high shear values. For example, rubber melts, condensed liquids, toiletries, cosmetics, and vegetable products are included in these fluids [

This report is to narrate the specifications of radiative mass and heat transfer enhancement and flow analysis of the molecular kinetic theory of liquid-initiated boundary layer stagnation point nanofluid towards a vertical stretched surface. The non-Newtonian nanofluid model is manifested with the induced magnetic field, radiation efficacy, combined convection, Brownian, and thermophoresis diffusion. The flow field describes that, in the form of partial differential equations, the laws of conservation of momentum are considered. By reducing the number of independent variables by using the technique of similarity transformation, these coupled equations are then purified into the system of ordinary differential equations. The results are interpreted by the MATLAB bvp4c technique. Induced magnetic pattern near the wall decreases, and far away, it increases with an increase in the values of the reciprocal of the magnetic Prandtl number. The concentration curve enhances when the number of magnetic, stretching, and Prandtl characteristics incline. This study of nanofluid is mainly applied in heat transfer devices such as electrical cooling systems, radiators, and heat exchangers.

Consider the incompressible, steady, two-dimensional (2D) stagnant point flow under the assumption of the induced magnetic field in the molecular kinetic theory of liquid-initiated nanofluid and heat transport enhancement in the existence of combined convection and radiation towards a vertical stretched sheet as shown in Figure

Geometry of the problem.

Taken the Cartesian coordinate structure, the velocity of liquid flow will change through

Then, equation (

Under these premises, the governing equations of this particular investigation are as follows:

The above equations narrate the viscosity coefficient

The radiation heat flux is given by using Rosseland approximation:

Substituting equations (

The relevant boundary conditions are

Invoking similarity transformations are defined by

The magnetized pressure is described as

Equations (

Here, prime denotes derivative for

Physical quantities are very valuable from an engineering point of view. These quantities reported the flow behavior which is defined by local Nusselt number

Using invoking transformation equation (

Coupled nonlinear differential equations (

Outcomes of

Impacts of

Upshot of

Results of

Effects of

Consequences of

Upshot of

Consequence of

Upshot of

Result of

Outcome of

Result of

Impact of

Upshot of

Influence of

Outcome of

Upshot of

Result of

Outcome of

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Consequence of

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Flowlines for

Flowlines for

Flowlines for

Flowlines for

Variation of

0.1 | 0.1 | 0.1 | 1 | 7 | 0.1 | 0.1 | 0.5 | 0.1 | 0.1 | 0.1 | 0.5 | −0.85974 |

0.3 | −0.87093 | |||||||||||

0.5 | −0.88148 | |||||||||||

0.1 | 0.2 | 0.1 | 1 | 7 | 0.1 | 0.1 | 0.5 | 0.1 | 0.1 | 0.1 | 0.5 | −0.93303 |

0.3 | −1.00570 | |||||||||||

0.5 | −1.14835 | |||||||||||

0.1 | 0.1 | 0.2 | 1 | 7 | 0.1 | 0.1 | 0.5 | 0.1 | 0.1 | 0.1 | 0.5 | −0.82344 |

0.3 | −0.81182 | |||||||||||

0.4 | −0.80635 | |||||||||||

0.1 | 0.1 | 0.1 | 1.2 | 7 | 0.1 | 0.1 | 0.5 | 0.1 | 0.1 | 0.1 | 0.5 | −1.43201 |

1.3 | −1.40042 | |||||||||||

1.4 | −1.37091 | |||||||||||

0.1 | 0.1 | 0.1 | 1 | 7 | 0.2 | 0.1 | 0.5 | 0.1 | 0.1 | 0.1 | 0.5 | −0.83200 |

0.3 | −0.80432 | |||||||||||

0.4 | −0.77670 | |||||||||||

0.1 | 0.1 | 0.1 | 1 | 7 | 0.1 | 0.2 | 0.5 | 0.1 | 0.1 | 0.1 | 0.5 | −0.84285 |

0.4 | −0.84659 | |||||||||||

0.6 | −0.85046 | |||||||||||

0.1 | 0.1 | 0.1 | 1 | 7 | 0.1 | 0.1 | 0.5 | 0.1 | 0.1 | 0.2 | 0.5 | −0.66689 |

0.4 | −0.09788 | |||||||||||

0.6 | 0.68368 | |||||||||||

0.1 | 0.1 | 0.1 | 1 | 7 | 0.1 | 0.1 | 0.5 | 0.1 | 0.1 | 0.1 | 0.2 | −0.84019 |

0.4 | −0.85400 | |||||||||||

0.6 | −0.86503 |

Variation of

0.1 | 0.1 | 0.1 | 1 | 7 | 0.1 | 0.1 | 0.5 | 0.1 | 0.1 | 0.1 | 0.5 | 3.68235 |

0.3 | 3.46053 | |||||||||||

0.5 | 3.25753 | |||||||||||

0.1 | 0.2 | 0.1 | 1 | 7 | 0.1 | 0.1 | 0.5 | 0.1 | 0.1 | 0.1 | 0.5 | 2.10453 |

0.3 | 2.04608 | |||||||||||

0.5 | 1.91548 | |||||||||||

0.1 | 0.1 | 0.2 | 1 | 7 | 0.1 | 0.1 | 0.5 | 0.1 | 0.1 | 0.1 | 0.5 | 2.21832 |

0.3 | 2.27728 | |||||||||||

0.4 | 2.33814 | |||||||||||

0.1 | 0.1 | 0.1 | 1 | 9 | 0.1 | 0.1 | 0.5 | 0.1 | 0.1 | 0.1 | 0.5 | 2.46411 |

12 | 2.86748 | |||||||||||

15 | 3.22622 | |||||||||||

0.1 | 0.1 | 0.1 | 1 | 7 | 0.1 | 0.2 | 0.5 | 0.1 | 0.1 | 0.1 | 0.5 | 2.15845 |

0.4 | 2.15809 | |||||||||||

0.6 | 2.15774 | |||||||||||

0.1 | 0.1 | 0.1 | 1 | 7 | 0.1 | 0.1 | 0.5 | 0.1 | 0.1 | 0.2 | 0.5 | 2.18123 |

0.4 | 2.24457 | |||||||||||

0.6 | 2.32438 | |||||||||||

0.1 | 0.1 | 0.1 | 1 | 7 | 0.1 | 0.1 | 0.5 | 0.1 | 0.1 | 0.1 | 0.2 | 2.16042 |

0.4 | 2.15919 | |||||||||||

0.6 | 2.15807 |

Variation of

0.1 | 0.1 | 0.1 | 1 | 7 | 0.1 | 0.1 | 0.5 | 0.1 | 0.1 | 0.1 | 0.5 | −1.93921 |

0.3 | −2.20711 | |||||||||||

0.5 | −2.43144 | |||||||||||

0.1 | 0.2 | 0.1 | 1 | 7 | 0.1 | 0.1 | 0.5 | 0.1 | 0.1 | 0.1 | 0.5 | −3.70463 |

0.3 | −5.34866 | |||||||||||

0.5 | −8.21711 | |||||||||||

0.1 | 0.1 | 0.2 | 1 | 7 | 0.1 | 0.1 | 0.5 | 0.1 | 0.1 | 0.1 | 0.5 | −1.03388 |

0.3 | −0.73383 | |||||||||||

0.4 | −0.58575 | |||||||||||

0.1 | 0.1 | 0.1 | 1 | 9 | 0.1 | 0.1 | 0.5 | 0.1 | 0.1 | 0.1 | 0.5 | −2.21493 |

12 | −2.57936 | |||||||||||

15 | −2.90386 | |||||||||||

0.1 | 0.1 | 0.1 | 1 | 7 | 0.1 | 0.2 | 0.5 | 0.1 | 0.1 | 0.1 | 0.5 | −1.93906 |

0.4 | −1.93874 | |||||||||||

0.6 | −1.93842 | |||||||||||

0.1 | 0.1 | 0.1 | 1 | 7 | 0.1 | 0.1 | 0.5 | 0.1 | 0.1 | 0.2 | 0.5 | −1.95958 |

0.4 | −2.01667 | |||||||||||

0.6 | −2.08858 | |||||||||||

0.1 | 0.1 | 0.1 | 1 | 7 | 0.1 | 0.1 | 0.5 | 0.1 | 0.1 | 0.1 | 0.2 | −1.94083 |

0.4 | −1.93972 | |||||||||||

0.6 | −1.93872 |

We studied the molecular theory of liquid-originated non-Newtonian nanofluids which are commonly used in heat transfer devices such as heat exchangers, engine oils, electrical cooling systems (such as flat plates), nuclear reactors, biomedicine lubricants, and radiators. The key points of observation in the recent analysis are as follows:

Induced magnetic pattern near the wall declines, and far away, it inclines when

The velocity amplitude expands by enlargement in the amount of magnetic parameter

The temperature spectrum increases when the values of

The nanoparticle concentration portrait reduces if the reciprocal of the magnetic Prandtl number

Drag friction decays by the inclination in the values of

Heat transfer rates are increased when there is an increase in the values of

Mass transfer rates diminish, for

Reciprocal of the magnetic Prandtl number

Dynamic viscosity

Mean absorption coefficient

Body forces

Nanoparticles concentration

Dimensionless velocity function

Temperature

Brownian motion parameter

Local Nusselt number

Ambient fluid concentration

Hot fluid temperature

Velocity components

Fluid characteristic

Extra stress tensor

Fluid characteristics

Local Sherwood number

Radiation parameter

Mixed convection parameter

Density of the base fluid

Surface heat flux

Nanoparticle

Thermal diffusivity

Magnetic diffusivity

Dimensionless heat transfer function

Similarity variable

Density

Magnetic parameter

Trace

Hot fluid concentration

Rivlin–Ericksen tensor

Skin friction coefficient

Brownian diffusion coefficient

Thermophoresis diffusion coefficient

Gravity acceleration

Lewis number

Thermophoresis parameter

Local Reynolds number

Stefan–Boltzmann constant

Ambient temperature

Stretching sheet velocity

External flow velocity

Cartesian coordinate components

Fluid characteristics

Fluid parameter

Prandtl number

Buoyancy ratio characteristics

Surface shear stress

Surface mass flux

Base fluid

Stretching parameter

Dimensionless magnetic function

Dimensionless concentration function

The density of the nanoparticles

The data that support the findings of this study are available from the corresponding author upon request.

The authors declare that they have no conflicts of interest.

_{2}O

_{3}-nanofluid over permeable wedge in mixed convection

_{2}nanomaterial with entropy generation

_{2}O hybrid nanofluid with radiation and partial slip boundary effects