Change In Kinetic Energy Research Articles

The Multi‐Scale Response of the Eddy Kinetic Energy and Transport to Strengthened Westerlies in an Idealized Antarctic Circumpolar Current

AbstractThe Southern Ocean's eddy response to changing climate remains unclear, with observations suggesting non‐monotonic changes in eddy kinetic energy (EKE) across scales. Here simulations reappear that smaller‐mesoscale EKE is suppressed while larger‐mesoscale EKE increases with strengthened winds. This change was linked to scale‐wise changes in the kinetic energy cycle, where a sensitive balance between the dominant mesoscale energy sinks—inverse KE cascade, and source—baroclinic energization. Such balance induced a strong (weak) mesoscale suppression in the flat (ridge) channel. Mechanistically, this mesoscale suppression is attributed to stronger zonal jets weakening smaller mesoscale eddies and promoting larger‐scale waves. These EKE multiscale changes lead to multiscale changes in meridional and vertical eddy transport, which can be parameterized using a scale‐dependent diffusivity linked to the EKE spectrum. This multiscale eddy response may have significant implications for understanding and modeling the Southern Ocean eddy activity and transport under a changing climate.

Numerical study on effect of operating pressures on CRKEC-based two-stage ejector

The two-stage ejector mixing-diffuser section in this study was computed using the Redlich-Kwong equation of state. The ejector was designed based on the constant rate of kinetic energy change (CRKEC) approach. The water vapor mixing diffuser profile and flow properties were calculated using a one-dimensional gas dynamic model. For the numerical investigation, the estimated geometrical profile based on the input design and operating conditions was utilized. ANSYS-Fluent 14.0 was em-ployed for the numerical study. The analysis was conducted under both on-design and off-design scenarios using the standard k-ε turbulence model. The impact of operating factors on flow behavior and entrainment ratios was investigated at off-design conditions. The findings demonstrated that the operational total pressures of the primary, secondary, and exit flows are a function of the two-stage ejector (TSE) entrainment ratio. With a higher exit pressure and more secondary/entrained flows, the entrain-ment ratio increases. However, altering the primary flow pressure in ways other than for the design conditions reduces the entrainment ratio.

Dynamical Performance of Graphene Aerogel with Ductile and Brittle Characteristics

AbstractCurrent research regarding the efficiency of ultra‐light graphene aerogel (GA) energy dissipation is limited to quasi‐static tests and simulations. The lack of direct dynamical experiments has impeded its utilization in fields of energy dissipation. Therefore, in this study, the high dynamic energy dissipation capability of GA with ultra‐low density is obtained directly from the experiment. It is found that the porous and anisotropic properties of GA render the projectile deflected hierarchically and further induce gradually cascaded failure with asymmetry expansion in the GA. This feature, taking advantage of ductile materials, facilitates energy dissipation capability. Failure morphologies of rippled graphene flakes involve brittle features such as micron‐size cracks and local broken flakes. In addition, these coarse‐grained molecular dynamics (CGMD) simulation results imply kinetic energy changes due to movement, and fluctuations of graphene flakes are effective ways to dissipate energy. Moreover, the stiffness increase of graphene flakes plays a weakened role in energy dissipation because reduced contact area impedes the effectiveness of stress wave and thermal transfer while also increasing the brittle characteristics of GA. Combining the failure characteristics of brittle materials with the benefits of ductile network materials, GA shows great promise in impact protection applications.

Convective instability of Ekman boundary layer flow of a Newtonian fluid over a stretchable rotating disk

ABSTRACT This paper examines a linear convective instability of an incompressible, Newtonian, viscous fluid rotating over a stretchy spinning disk in an Ekman boundary layer flow. First time in the literature, a numerical analysis of impacts of the stretching mechanism on the stability of the Ekman flow in the presence of the Coriolis force has been carried out, where the bottom disk is allowed to uniformly extend in radial direction. The von Kármán similarity transformations have been used to convert the governing equations of motion into a system of non-linear coupled ordinary differential equations (ODEs) in non-dimensional variables. Then velocity profiles of the flow have been obtained by numerically solving these dimensionless ODEs. The neutral stability curves were then obtained by performing a linear stability analysis for the convective mechanism by using the Chebyshev collocation method. Surface stretching has a globally stabilizing influence on both Type-I and Type-II instability modes of the Ekman flow, according to the stability curves. Then, the result established from the stability curves has been verified by calculating total kinetic energy change due to induced perturbations in the flow system. y.

Unlocking the Thermal Efficiency of Irregular Open-Cell Metal Foams: A Computational Exploration of Flow Dynamics and Heat Transfer Phenomena

An open-cell metal foam has excellent characteristics such as low density, high porosity, high specific surface area, high thermal conductivity, and low mass due to its unique internal three-dimensional network structure. It has gradually become a new material for enhanced heat transfer in industrial equipment, new compact heat exchangers, microelectronic device cooling, etc. This research established a comprehensive three-dimensional structural model of open-cell metal foams utilizing Laguerre–Voronoi tessellations and employed computational fluid dynamics to investigate its flow dynamics and coupled heat transfer performance. By exploring the impact of foam microstructure on flow resistance and heat transfer characteristics, the study provided insights into the overall convective heat transfer performance across a range of foam configurations with varying pore densities and porosities. The findings revealed a direct correlation between convective heat transfer coefficient (h) and pressure drop (ΔP) with increasing Reynolds number (Re), accompanied by notable changes in fluid turbulence kinetic energy (e) and temperature (T), ultimately influencing heat transfer efficiency. Furthermore, the analysis demonstrated that alterations in porosity (ε) and pore density significantly affected unit pressure drop (ΔP/L) and convective heat transfer coefficient (h). This study identified an optimal configuration, highlighting a metal foam with a pore density of 20 PPI and a porosity of 95% as exhibiting superior overall convective heat transfer performance.

From theory to practice: Monitoring mechanical power output during wheelchair field and court sports using inertial measurement units

An important performance determinant in wheelchair sports is the power exchanged between the athlete-wheelchair combination and the environment, in short, mechanical power. Inertial measurement units (IMUs) might be used to estimate the exchanged mechanical power during wheelchair sports practice. However, to validly apply IMUs for mechanical power assessment in wheelchair sports, a well-founded and unambiguous theoretical framework is required that follows the dynamics of manual wheelchair propulsion. Therefore, this research has two goals. First, to present a theoretical framework that supports the use of IMUs to estimate power output via power balance equations. Second, to demonstrate the use of the IMU-based power estimates during wheelchair propulsion based on experimental data. Mechanical power during straight-line wheelchair propulsion on a treadmill was estimated using a wheel mounted IMU and was subsequently compared to optical motion capture data serving as a reference. IMU-based power was calculated from rolling resistance (estimated from drag tests) and change in kinetic energy (estimated using wheelchair velocity and wheelchair acceleration). The results reveal no significant difference between reference power values and the proposed IMU-based power (1.8% mean difference, N.S.). As the estimated rolling resistance shows a 0.9–1.7% underestimation, over time, IMU-based power will be slightly underestimated as well. To conclude, the theoretical framework and the resulting IMU model seems to provide acceptable estimates of mechanical power during straight-line wheelchair propulsion in wheelchair (sports) practice, and it is an important first step towards feasible power estimations in all wheelchair sports situations.

Work and energy during a head-on collision

When two balls collide head-on in an elastic collision, the work done on each ball by the impact force is equal to the change in kinetic energy of each ball. A calculation of the work done during the collision is presented as an interesting extension of the work-energy principle, including an example where one of the balls is infinitely heavy.

Design and Experiment of a Harvesting Header for Wide–Narrow-Row Corn

Aiming to solve the problems of the large harvesting loss and low harvesting efficiency of wide- and narrow-row corn harvesting header in China, a method for the side installation of a header is proposed. A wide–narrow-row corn harvesting header with high working efficiency and low harvesting loss was designed. The collision energy balance equation of corn ears was established. The analysis shows that the kinetic energy change before and after the collision between the ear and the picking plate is the main cause of the shedding of and damage to corn kernels. Based on this, the main structural parameters of the corn harvesting header were designed. Based on the principle of Box–Behnken test, the response surface test was designed. The effects of the plant feeding speed, feeding angle, and rotation speed of a stem pulling roller on harvesting performance were analyzed. The best combination of working parameters was determined: The plant feeding speed was 1.08 m/s, the feeding angle was 52.46°, and the rotation speed of the stem pulling roller was 835.25 r/min. At this time, the grain damage rate was 1.09% and the grain loss rate was 0.14%. The corresponding parameters are verified by experiments. The results show that the grain damage rate was 1.12% and the grain loss rate was 0.14%. The optimization results are essentially consistent with the verification results, which meet the requirements of corn harvesting performance.

Image-Derived Skeletal Muscle Activation Metric Map: a Forearm Study Using Ultra-Fast Ultrasound Imaging and High-Density Electromyography.

Quantification of the skeletal muscle response can help better understand the fundamentals of the musculoskeletal system and can serve as a diagnostic measure or recovery assessment tool during rehabilitation for neurological injuries. Surface electromyography (EMG) is commonly used to measure muscle activity, but it is limited to detecting myoelectric signals without anatomy associated information. In this study, we proposed to use ultra-fast ultrasound imaging and introduced a new image analysis methodology to quantify a muscle's spatialtemporal mechanical response. The methodology is based on analyzing the spatial-temporal change of the impulsive kinetic energy during the period of muscle contraction. The analysis can derive an anatomy-registered muscle activation metric map that localizes regions of muscle activation. To demonstrate this, we intentionally evoked regional muscle responses in five participants without disabilities by electrically stimulating the median nerve and individual forearm muscle groups, respectively. Both ultrasound images and high-density EMG (HD-EMG) data were recorded and processed. We presented the ultrasound image-derived activation localization from five participants and compared the results with HD-EMG measurements. The comparison indicates a good resemblance for describing muscle recruitment pattern. The proposed methodology can potentially become an alternative or complementary approach to surface EMG for the study of skeletal muscle activation and for diagnosis and prognosis in clinical settings.

Energy and exergy analysis at the la joya sugar mill in Champotón, Campeche, Mexico

An energy and exergistic analysis was carried out on the bagacera boiler of the sugar mill "La Joya" located in Champotón, Campeche, making the following assumptions: the process develops in a permanent state, the mass that flows through the control volume does not suffer variations with respect to time, there are no work interactions of the system with the environment, changes in kinetic energy and potential energy are considered negligible, thermodynamic data were provided by the mill's operation and control center. It was found that by increasing the mass flow of feed water (mwater) and decreasing the temperature of the dead state (T0) there was the least destruction of exergy. Simulations were carried out to determine the energy and exegetical efficiencies of the mill as a whole with the help of the Software Engineering Equation Solver (EES). When modifying m ̇_water, with T0 at 25 ℃, and inlet water (Twater) 90 ℃, an increase was observed both efficiencies; the energetic reached a maximum of 88, and the exergetic of 31; It was also observed that the maximum energy efficiency is obtained with the Twater 45℃. On the contrary, the exergetic efficiency at 15.3. It was concluded that it is more important to increase the mass flow of inlet water to increase global efficiencies in mill facilities than its temperature.

Numerical investigation of flow stratification and heat transfer characteristics in a strongly heated horizontal rod bundles with helium-Xenon gas mixture

The helium-xenon(He-Xe) mixture has good heat transfer characteristics with a low Prandtl number(Pr ≈ 0.2 ∼ 0.3) and is suitable for the advanced compact gas-cooled reactor. The characteristics of horizontal flow stratification in the fuel rod bundles with He-Xe mixture under gravity and buoyancy were numerically simulated. Different wall heat flux q+ suitable for the reactor operating conditions were selected for calculation and analysis. Flow stratification is observed as strongly inhomogeneous in the radial direction. With the semi-local wall coordinates and Van-Driest transformation, laminarization is manifested by velocity and temperature profile and turbulent kinetic energy changes. In the horizontal flow, where the buoyancy is orthogonal to the direction of flow development, unique characteristics appear in the flow and heat transfer, and the growing longitudinal momentum and energy transport are considered the main reasons. The influence of flow acceleration and buoyancy under different bundle structures were compared. The buoyancy effect is evident in the loosely spaced rod bundles. In contrast, the thermally-induced flow acceleration effect in the tight-lattice scheme is noticeable.

RESEARCH OF THE CHANGE IN THE CONSOLIDATED MASS IN FLAT MULTI-LINK MECHANISMS

Purpose. Determination of the equation of motion of the crank-connecting mechanism using the methods of researching the motion of flat multi-link mechanisms. Development of the dependence using the theorem on the change in kinetic energy of the mechanical system for determining the total mass of flat mechanisms when the angle of rotation of the driving link of the flat mechanism changes.
 Research methods. Dynamic analysis of the mechanism. The method of reducing forces and masses. Mathematical determination of the kinetic energy depending on the angle of rotation of the crank of a flat mechanism. Regression processing of the obtained calculation results and their subsequent correlation analysis were carried out using computer software for the analysis and visualisation of scientific and statistical data – «SigmaPlot» from the company «Jandel Corporation».
 Results. A calculated formula for the change in the combined mass depending on the angle of rotation of the crank was obtained. The existence of a sinusoidal relationship between the calculated parameters (crank angle and reduced mass) was established. The correlation analysis of the obtained function showed a sufficiently high degree of relationship between the calculated data and the mathematical dependence, while the correlation coefficient was r = 0.972. The graph of the determined mathematical dependence also showed a fairly high correlation between the specified parameters. The resulting equation can be used for systems with one degree of freedom. For mechanisms with several degrees of freedom, the law of change of the combined mass will be different for each degree of freedom.
 Scientific novelty. Using the calculated formulas of kinetic energy for planar mechanisms, the law of change of the reduced mass in planar mechanisms, which takes into account the rotation of the crank around its own axis, is obtained.
 Practical value. When designing flat crank mechanisms, it is necessary to take into account the effect of inertial forces, the value of which depends on the mass and acceleration. This makes it possible to calculate correctly the dynamic loads on the parts of the flat mechanism (bearings, etc.). The obtained mathematical dependence of the change in the combined mass on the angle of rotation of the leading link of the mechanism makes it possible to analyse the change in the combined moment of inertia, which in turn affects the change in torque.

The nano-pumping process of C20 molecules from carbon nanotube at the different external electric fields and atomic defects: A molecular dynamics approach

Today, carbon nanotubes are involved in many medical types of research, such as biosensors and drug delivery. These nanotubes do not pose a problem for the body regarding toxicity to body cells and triggering the immune system. Nanotubes have also been proven to increase solubility and the possibility of targeted drug delivery. This study used molecular dynamics simulation to examine the nano-pumping process of the C20 molecule in carbon nanotubes at the different electric fields and atomic defects. The process of C20 molecule nano-pumping was examined by examining the changes in kinetic energy, potential energy, entropy, stress, temperature, and internal energy changes. In the following, the stress on the atomic structure was calculated. For this purpose, constant electric fields with the magnitudes of 0.01, 0.02, 0.03, 0.05, and 0.1 V/Å are used for the atomic structure. The results show that the nano-pumping time of the C20 molecule in the carbon nanotubes increases by increasing the electric field magnitude. The results also revealed that the kinetic energy in the structure decreased by increasing the electric fields, and the potential energy increased. As the potential energy increased in the atomic structure, the stability increased. Therefore, it is expected that the C20 molecule nano-pumping time will increase. The following examined the effect of atomic defects in an electric field with a magnitude of 0.01 V/Å. For this purpose, the atomic defects with magnitudes of 1 %, 2 %, 3 %, and 4 % were used for carbon nanotubes. The results revealed that increasing the atomic defects increased the C20 molecule nano-pumping time. Furthermore, the stress on the structure increased by increasing the atomic defects.

A comparative study of energy-oriented driving strategy for connected electric vehicles on freeways with varying slopes

—This paper proposes two real-time energy-oriented driving strategies to minimize the energy consumption for electric vehicles on highways with varying slopes. First, a novel strategy, called normalized-energy consumption minimization strategy (NCMS), adopts a designed kinetic energy conversion factor to convert the vehicle kinetic energy change into the equivalent battery energy consumption. By minimizing the total normalized energy consumption, the energy-orientated vehicle control sequence is calculated. In addition, a logic car-following algorithm is developed to enhance NCMS for avoiding collisions with the potential preceding vehicle on the journey. Second, an improved model predictive control (MPC) is developed with a hierarchical framework, which achieves a balance between optimization and computational efficiency. In the upper level, a global, coarse-grained, iterative dynamic programming is employed to penalize the MPC terminal state, while the lower level performs online rolling optimization of the vehicle within a moderate time step. Thirdly, the performance of the proposed driving strategies is verified through a traffic simulation to evaluate the energy efficiency improvement and processor computation time compared to dynamic programming and constant speed strategy. Finally, a vehicle-in-the-loop test is carried out to validate the feasibility of the proposed two novel driving strategies.

Frequency Dependence of Ocean Kinetic Energy and Respective Changes Over the Period 1983–2018

AbstractRegional horizontal and vertical patterns of ocean kinetic energy (KE) during 1983–2018 are studied using a numerical simulation. The analysis is focused on time‐mean and transient components of KE. For understanding its contribution to the total as function of timescale, the transient part is further sub‐divided into six frequency bands, with periods >16 months, 16–8 months, 8–4 months, 4–1 months, 1 month–5 days and <5 days. Near the surface, besides intensification due to wind‐forced generation, transient KE is enhanced in boundary currents, in equatorial wave guides and in the Southern Ocean. In the deep, KE is enhanced in re‐circulation regions under boundary currents and at eastern sides of topographic ridges. On scales <5 days it is enhanced over shelf and in quiet ocean interior areas. The largest fraction of transient energy resides in the eddy‐populated band 1 week–4 months. Decadal changes of KE are associated with mean flow variations and changes on inter‐ and intra‐annual periods, especially in the Atlantic and Southern Oceans. Changes in the subpolar Atlantic are correlated with the North Atlantic Oscillation and in the Southern Ocean with the Southern Annular Mode. A decrease/increase in Atlantic/Pacific KE is noticed over the investigated period. Trends are found in the Gulf Stream, Kuroshio Current and along the Antarctic Circumpolar Current, which shows an increase in mean and transient energy in the Indian/west Pacific sectors and a decrease in the Atlantic sector. The strong variations between decades suggest that trends are part of multi‐decadal variability.

Analysis on the flow and heat transfer performance of SCO2 in airfoil channels with different structural parameters

As an important component of the system, the performance of the printed circuit heat exchanger (PCHE) has a significant impact on the efficiency and compactness of the supercritical carbon dioxide (SCO2) Brayton cycle system. Optimization of the structural parameters of airfoil fins can improve the performance of PCHE flow channels, but it has not received enough attention. Therefore, it is of great significance to investigate the effects of structural parameters such as the maximum thickness (Wf), the distance from the position where the maximum thickness is located to the leading-edge (Df), and the radius of the leading-edge (Rf) of the airfoil fins on the flow heat transfer performance of SCO2 in the channel of PCHE. A three-dimensional numerical model is developed and validated for performance analysis of the PCHE, meanwhile the thermal-hydraulic performance of channels with different structural parameters of the airfoil fins is compared. The results show that with the increase of the Wf of the airfoil fins, the heat transfer characteristics of the PCHE channel are gradually enhanced, and the flow characteristics are gradually weakened. When the maximum thickness of the airfoil fins is in the front, the heat transfer and flow characteristics of the PCHE channel are better. As the Rf of the airfoil fins increases, the heat transfer characteristics and flow characteristics of the PCHE channel fluctuate. The change of the turbulent kinetic energy, the boundary layer thickness, the synergistic effect of the velocity field and the temperature gradient field, and the local entropy production in the channel can well explain the mechanism of the flow and heat transfer of the SCO2 in the airfoil fin channel. In addition, among the channels with different structural parameters of the airfoil fins, the Fin-5 airfoil fin channel with Wf of 1.5 mm, the Fin-6 airfoil fin channel with Df of 0.6 mm and the Fin-13 airfoil fin channel with Rf of 1.46 mm are recommended. Their comprehensive performance is 2.0–6.3%, 0.9–5.6% and 0.13–1.81% higher than that of the Fin-3 airfoil fin channel, respectively.

The evolution of preferred orientation and morphology of AlN films under various sputtering parameters

Wurtzite aluminum nitride (AlN) films with (100) and (002) preferred orientations are obtained on Si (100) wafers by radio frequency magnetron sputtering. The effects of target to substrate distance (TSD), RF power, deposition pressure and substrate temperature on crystal orientation and morphology of AlN films are analyzed. It is demonstrated that the TSD is the key factor affecting the preferred orientation of AlN films. The preferred orientation transforms from (002) to (100) with the increase of TSD. Further increase of substrate temperature and RF power causes the coexistence of (002) and (100) orientation. The evolution of orientation is explained by the change in kinetic energy of sputtered particles. The correlation between the crystal orientation and the surface morphology is investigated.

Analysis of the flow phenomenon of fluid undergoing a sudden contraction to an annular gap

The paper presents the visualization results of the sudden contraction flow field with an annular gap downstream of the contraction cross section. The contraction ratio directly influences the flow phenomena. No stationary vortices were observed upstream of the contraction cross section, and flow separation divided the flow field within the annular gap into a recirculation zone, a shear layer, and a mainstream zone. Vena-contracta point and reattachment point occurred within the flow field of the annular gap. The production of Reynolds stress varied with the contraction ratio, and the momentum exchange mainly occurred in the recirculation zone and the shear layer, while the flow state in the mainstream zone tended to become isotropic. Rapid changes in turbulent kinetic energy primarily occurred in the shear layer, and the production term of turbulent kinetic energy contributed the most. Applying computational fluid dynamics and experimental results, this study has formulated an expression for the contraction coefficient of the proposed model. The axial positions of the vena-contracta point and reattachment point have a strong correlation with the contraction ratio, which can be represented by an exponential function.

STRUCTURAL IMPROVEMENT OF THE WHEEL DRIVE OF A MILITARY VEHICLE

The movement of the car is carried out due to the loading of the wheel driver by forces: gravitational force and tangential force of traction, which sometimes leads to a delay in the movement of the rotation of the tire during its deformation, as well as to the incomplete realization of the power created by the engine and which is transmitted to the wheel driver. The article examines the questions and presents elements of the theory of a military vehicle with a structural improvement of the wheel drive of a military vehicle, as well as theorems on the change in kinetic energy of such a wheel drive. The technological diagram of the developed and improved design of the wheel drive allows the process of transferring the motion of the car to be carried out at the expense of the kinematically connected with it movable additional wheel, the transformation of the energy supplied to the wheel drive into the controlled relative to the center of its hub and with the addition of the traction force of the car with the transfer force, which is an auxiliary factor to the innovative technology of its movement. The scientific and practical direction of the work consists in the fact that for the first time the technology is considered in which the law of change of mechanical energy is applied during the rotation of the wheel drive on the road by using the wheel drive with an additional wheel kinematically connected to it. The research methodology was to establish a mathematical relationship between the speed of the cyclic movement of the additional wheel, which is associated with the center of the car wheel hub, and this allows to increase the dynamic mobility of the car directly. The result of the study is the development of elements of the theory of a military vehicle with a new design of a wheel drive with an additional wheel kinematically connected to it, which allows to increase the dynamic mobility of the vehicle directly. The value of the conducted research, the results of the conducted work will allow to make a contribution to the automotive industry. The proposed model of a car with a new design of a wheel drive with an additional wheel kinematically associated with it is suitable for use in order to effectively implement engine power and convert it into traction force on the wheel.

КОНСТРУКЦІЙНЕ УДОСКОНАЛЕННЯ КОЛІСНОГО РУШІЯ ВІЙСЬКОВОГО АВТОМОБІЛЯ

The movement of the car is carried out due to the loading of the wheel driver by forces: gravitational force and tangential force of traction, which sometimes leads to a delay in the movement of the rotation of the tire during its deformation, as well as to the incomplete realization of the power created by the engine and which is transmitted to the wheel driver. The article examines the questions and presents elements of the theory of a military vehicle with a structural improvement of the wheel drive of a military vehicle, as well as theorems on the change in kinetic energy of such a wheel drive. The technological diagram of the developed and improved design of the wheel drive allows the process of transferring the motion of the car to be carried out at the expense of the kinematically-related movable additional wheel, the transformation of the energy supplied to the wheel drive into the controlled relative to the center of its hub and with the addition of the traction force of the car with the transfer force, which is an auxiliary factor to the innovative technology of its movement. The scientific and practical direction of the work consists in the fact that for the first time the technology is considered in which the law of change of mechanical energy is applied during the rotation of the wheel drive on the road by using the wheel drive with an additional wheel kinematically connected to it. The research methodology was to establish a mathematical relationship between the speed of the cyclic movement of the additional wheel, which is associated with the center of the car wheel hub, and this allows to increase the dynamic mobility of the car directly. The result of the research is the development of elements of the theory of a military vehicle with a new design of a wheel drive with an additional wheel kinematically connected to it, which allows to increase the dynamic mobility of the vehicle directly. The value of the conducted research, the results of the conducted work will allow to make a contribution to the automotive industry. The proposed model of a car with a new design of a wheel drive with an additional wheel kinematically associated with it is suitable for use in order to effectively realize the power of the engine and convert it into traction force on the wheel. Keywords: physical-mathematical model, force, wheel drive with an additional wheel kinematically associated with it, wheel, gravitational and tangential force, moment of inertia, kinetic energy.